pytania
1901 pytań o węzły z MathOverflow (pytania badawcze) i Math StackExchange (od poziomu podręcznikowego). Z tagów knot-theory, knot-invariants i kilkunastu bardzo bliskich, jak khovanov-homology czy heegaard-floer-homology, są pytania z co najmniej 3 głosami, a od 2022 roku z co najmniej 1, bo nowsze nie zdążyły zebrać głosów. Z szerszych tagów (3-manifolds, 4-manifolds, braid-groups, computational-topology, contact-geometry, low-dimensional-topology, surgery-theory) tylko te z co najmniej 10 głosami. Kliknij tag, żeby zawęzić listę. Zrzut z 22 października 2026.
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Filtry:
- 135 Are there any very hard unknots? MO 2011, 11 odp.
- 119 Independent evidence for the classification of topological 4-manifolds? MO 2012, 5 odp. ✓
- 101 How can there be topological 4-manifolds with no differentiable structure? MO 2011, 4 odp.
- 101 Theoretical physics: Why not just $\mathbb{R}^4$? MO 2010, 9 odp.
- 100 Geometric way to view the truncated braid groups? MSE 2013, 2 odp.
- 83 In $n>5$, topology = algebra MSE 2013, 1 odp.
- 69 Why hasn't anyone proved that the two standard approaches to quantizing Chern-Simons theory are equivalent? MO 2012, 4 odp. ✓
- 65 Tying knots with reflecting lightrays MO 2010, 4 odp. ✓
- 64 What are some of the big open problems in 3-manifold theory? MO 2010, 14 odp.
- 62 Drawing of the eight Thurston geometries? MO 2010, 4 odp.
- 57 What knot is this? MSE 2017, 3 odp. ✓
- 56 How to add essentially new knots to the universe? MO 2018, 2 odp. ✓
- 55 Kirby calculus and local moves MO 2010, 3 odp. ✓
- 53 Why can't Antoine's necklace fall apart? MSE 2020, 2 odp. ✓
- 53 Prime numbers as knots: Alexander polynomial MO 2010, 2 odp. ✓
- 51 Can I wrap a suitcase with hair ties MO 2022, 2 odp. ✓
- 51 Thurston's 24 questions: All settled? MO 2017, 3 odp. ✓
- 50 Algebraic proof of 4-colour theorem? MO 2010, 5 odp. ✓
- 49 What is knot theory about, exactly? MSE 2016, 5 odp. ✓
- 49 Can knot diagrams be monotonically simplified using under moves? MO 2014, 2 odp.
- 47 Exotic $R^4$ as the universal covering space MO 2018, 1 odp. ✓
- 46 Why are all knots trivial in 4D? MSE 2015, 4 odp. ✓
- 46 Why should I care about Heegaard-Floer theory? MO 2012, 7 odp.
- 46 Applications of knot theory MO 2010, 9 odp. ✓
- 43 Not all manifolds can be triangulated: In which dimensions? MO 2017, 1 odp. ✓
- 43 In knot theory: Benefits of working in $S^3$ instead of $\mathbb{R}^3$? MO 2011, 9 odp.
- 40 Reference on Persistent Homology MO 2018, 5 odp. ✓
- 40 Can I solve an integral (or other tough problem) by playing with knots? MSE 2014, 1 odp. ✓
- 39 The Jones polynomial at specific values of $t$ MO 2014, 3 odp. ✓
- 39 What manifolds are bounded by RP^odd? MO 2009, 4 odp. ✓
- 38 What kind of knot is this sculpture? MSE 2025, 1 odp. ✓
- 38 Inference using Topological Data Analysis: Is it worth it for a regular statistician to learn TDA? MO 2013, 5 odp. ✓
- 37 How to specify a compact topological 4-manifold with a finite amount of data MO 2018, 3 odp.
- 37 Why is persistent cohomology so much faster than persistent homology MO 2018, 1 odp. ✓
- 37 Knot security (When to trust your life with a knot) MO 2012, 2 odp. ✓
- 37 What is the three-dimensional hyperbolic volume of a four-manifold? MO 2011, bez odp.
- 36 Why should I care about the Jones polynomial? MO 2018, 3 odp. ✓
- 36 Applications of arithmetic topology to number theory MO 2016, 1 odp.
- 36 Probabilistic knot theory MO 2009, 12 odp. ✓
- 35 Is there a "knot theory" for graphs? MO 2011, 8 odp.
- 35 Resources for graphical languages / Penrose notation / Feynman diagrams / birdtracks? MO 2010, 8 odp.
- 34 Metrics on the 3-sphere with knotted geodesics MO 2015, bez odp.
- 34 Visualization of Lens Spaces MSE 2015, 2 odp. ✓
- 34 Representation of $S^{3}$ as the union of two solid tori MSE 2012, 4 odp.
- 34 Random knot on six vertices MO 2011, 4 odp.
- 33 Why do people study representations of 3-manifold groups into $\mathrm{SL}(n,\mathbb{C})$? MO 2016, 5 odp.
- 32 Computational software in Algebraic Topology? MO 2011, 4 odp. ✓
- 32 Proof of the Reidemeister theorem MO 2010, 6 odp.
- 31 What is the lowest degree polynomial that turns a circle into a nontrivial knot? MSE 2025, 2 odp. ✓
- 31 Intuition behind Khinchin's constant MSE 2014, 2 odp.
- 31 Isotopy and Homotopy MSE 2013, 1 odp. ✓
- 31 When is a compact topological 4-manifold a CW complex? MO 2011, bez odp.
- 31 What is the knot associated to a prime? MO 2011, 1 odp. ✓
- 31 A good quick introduction to Knot Theory? MSE 2010, 10 odp.
- 30 What part is left unsolved in the Unknotting problem? (after results of Bar-Natan, Khovanov, Kronheimer and Mrowka) MO 2016, 3 odp. ✓
- 30 What would the slice-ribbon conjecture imply? MO 2009, 3 odp. ✓
- 29 Shing-Tung Yau's doubts about Perelman's proof MO 2021, 2 odp.
- 29 How to get convinced that there are a lot of 3-manifolds? MO 2015, 6 odp.
- 29 Can you flip the end of a large exotic $\mathbb{R}^4$ MO 2011, 1 odp.
- 29 Complete knot invariant? MO 2010, 3 odp. ✓
- 29 Why is the Alexander polynomial a quantum invariant? MO 2009, 2 odp.
- 29 Embeddings of $S^2$ in $\mathbb{CP}^2$ MO 2009, 3 odp. ✓
- 28 Does there exist a simple closed curve in ${\bf R}^3$ whose projections down onto the three coordinate planes are simply connected MO 2025, 4 odp. ✓
- 28 What does Yang-Mills and mass gap problem has to do with mathematics? MO 2012, 3 odp. ✓
- 28 Can all n-manifolds be obtained by gluing finitely many blocks? MO 2010, 4 odp. ✓
- 28 Level sets of Morse functions MO 2010, 2 odp.
- 28 Tetrahedra with prescribed face angles MO 2010, 8 odp. ✓
- 27 Is being simply connected very rare? MO 2020, 2 odp.
- 27 Find $f$ such that $f^{-1}(\lbrace0\rbrace)$ is this knotted curve (M.W.Hirsh) MSE 2019, 2 odp. ✓
- 27 Hyperbolic exceptional fillings of cusped hyperbolic 3-manifolds MO 2013, 2 odp. ✓
- 27 The Chern-Simons/Wess-Zumino-Witten correspondence MO 2012, 7 odp. ✓
- 27 Does this knot invariant distinguish trefoil chiralities? MO 2012, 1 odp. ✓
- 27 Why is the volume conjecture important? MO 2010, 2 odp.
- 27 Intuitive explanation for the use of matrix factorizations in knot theory MO 2010, 1 odp. ✓
- 26 Homotopy type of Diff(ℝP³) MO 2022, 1 odp.
- 26 Several questions about Gauss's mathematical conception of braids MO 2021, 2 odp. ✓
- 26 Knots realized as algebraic curves MO 2020, 1 odp. ✓
- 26 Complexity of random knot with vertices on sphere MO 2011, 5 odp. ✓
- 26 Is there a q-analog to the braid group? MO 2010, 6 odp.
- 26 How expensive is knowledge? Knots, Links, 3 and 4-manifold algorithms. MO 2010, 3 odp.
- 25 Does every oriented $3$-dimensional submanifold of $\mathbb{R}^6$ bound an oriented $4$-dimensional submanifold? MO 2024, 1 odp.
- 25 Does there exist a closed 4-manifold whose $\pi_2$ contains torsion elements MO 2024, 1 odp. ✓
- 25 Which homotopy classes $S^3 \to S^2$ lift to embeddings $S^3 \to S^2 \times D^3$? MO 2021, 2 odp.
- 25 What can we say about the Cartesian product of a manifold with its exotic copy? MO 2018, 1 odp. ✓
- 25 What closed 3-manifolds have fundamental group $\Bbb Z$? MSE 2015, 3 odp. ✓
- 25 What are the implications of the simple loop conjecture? MO 2015, 3 odp. ✓
- 25 Concordance and homology cobordism MO 2015, bez odp.
- 25 Equivalence of knots: ambient isotopy vs. homeomorphism MSE 2015, 2 odp. ✓
- 25 Persistent homology of Gaussian fields in Euclidean space MO 2012, 3 odp. ✓
- 25 Are there lots of integer homology three-spheres? MO 2012, bez odp.
- 25 How many definitions are there of the Jones polynomial? MO 2011, 3 odp.
- 25 Are there moves between Reidemeister moves? MO 2010, 3 odp. ✓
- 25 Proofs of Kirby's theorem MO 2010, 2 odp. ✓
- 24 Proof of Giroux's correspondence MO 2018, 3 odp. ✓
- 24 Exotic 4-spheres and the Tate-Shafarevich Group MO 2017, bez odp.
- 24 Can one deform an immersion of a 3-manifold in $\mathbb R^4$ to an embedding in $\mathbb R^6$? MO 2015, 2 odp. ✓
- 24 Mapping class groups in high dimension MO 2015, 1 odp. ✓
- 24 Elevator pitch for the Virtual Fibering Theorem MO 2012, 3 odp. ✓
- 24 Trefoil knot as an algebraic curve MSE 2012, 6 odp. ✓
- 24 Can surfaces be interestingly knotted in five-dimensional space? MO 2011, 5 odp. ✓
- 24 What is the importance of the Poincaré conjecture? MSE 2010, 3 odp.
- 23 Are braid groups known to not be linear over $\mathbb{Z}$? MO 2022, bez odp.
- 23 Tying knots via gravity-assisted spaceship trajectories MO 2018, 1 odp.
- 23 Vanishing of characteristic numbers vs vanishing of characteristic classes MO 2016, 2 odp.
- 23 What should I cite for the Poincaré conjecture? MO 2016, 1 odp. ✓
- 23 Classification of fake (quaternionic, octonionic) projective spaces MO 2016, 2 odp.
- 23 Intuition for Exotic $\mathbb R^4$'s MSE 2014, 1 odp. ✓
- 23 Picture of a 4D knot MSE 2013, 3 odp.
- 23 Is anything known about this braid group quotient? MO 2011, 3 odp.
- 23 Utility of virtual knot theory? MO 2010, 4 odp. ✓
- 22 Presenting 3-manifolds by planar graphs MO 2018, 1 odp.
- 22 Define the 3d Chern-Simons TQFT on a discrete simplicial complex MO 2018, 2 odp.
- 22 What is the cohomological dimension of the commutator subgroup of the pure braid group? MO 2017, 1 odp. ✓
- 22 The image of the point-pushing group in the hyperelliptic representation of the braid group MO 2012, 2 odp. ✓
- 22 Why is it so hard to implement Haken's Algorithm for knot theory? MO 2011, 3 odp. ✓
- 22 How are the Conway polynomial and the Alexander polynomial different? MO 2010, 1 odp.
- 22 A historical question: Hurwitz, Luroth, Clebsch, and the connectedness of $\mathcal{M}_g$ MO 2010, 3 odp. ✓
- 21 Homotopy groups of Diff(X) and Homeo(X) MO 2020, 2 odp. ✓
- 21 Are there exotic $\mathbb{R}^4$'s that are products with $\mathbb{R}$? MO 2017, bez odp.
- 21 Why, in terms of quantum groups, does the knot determinant appear as an evaluation of both the Jones and Alexander polynomials? MO 2015, 1 odp. ✓
- 21 Is there a good notion of morphism between orbifolds? MO 2013, 6 odp. ✓
- 21 What is the role of contact geometry in the hamiltonian mechanics? MO 2011, 4 odp. ✓
- 21 Quantum mathematics? MO 2011, 3 odp.
- 21 Realizing braid group by homeomorphisms MO 2011, 2 odp. ✓
- 21 Is there a volume conjecture for closed 3-manifolds? MO 2010, 4 odp.
- 21 What are the points of Spec(Vassiliev Invariants)? MO 2010, 4 odp. ✓
- 20 Lorentzian analogue to Thurston geometries MO 2018, 1 odp.
- 20 Behavior of genus function on a 4-manifold for sums MO 2018, 2 odp. ✓
- 20 Can a finite group action by homeomorphisms of a three-manifold be approximated by a smooth action? MO 2017, 2 odp.
- 20 Examples of interesting non orientable closed 3-manifolds MO 2017, 2 odp. ✓
- 20 How equivalent are the homeomorphism and diffeomorphism groups of 3-manifolds? MSE 2015, 2 odp. ✓
- 20 What do tangles teach us about braids? MO 2014, 1 odp.
- 20 Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group? MO 2013, 4 odp. ✓
- 20 On connection between Knot theory and Operator algebra MO 2012, 3 odp.
- 20 Details for the action of the braid group B_3 on modular forms MO 2010, 4 odp. ✓
- 20 topological "milnor's conjecture" on torus knots. MO 2010, 3 odp. ✓
- 19 Is there a constructive proof that in four dimensions, the PL and the smooth category are equivalent? MO 2019, 1 odp. ✓
- 19 Hyperbolic Volume and Chern-Simons MO 2017, 2 odp. ✓
- 19 Why do we often consider knots to be embedded in $S^3$ instead of $\mathbb{R}^3$? MSE 2017, 1 odp. ✓
- 19 Laymans explanation of the relation between QFT and knot theory MSE 2015, 2 odp. ✓
- 19 Topological description of inverting a knot MO 2014, bez odp.
- 19 Which manifolds decompose into pants? MO 2012, bez odp.
- 19 The oriented homeomorphism problem for Haken 3-manifolds MO 2012, 1 odp. ✓
- 19 Diffeomorphisms vs homeomorphisms of 3-manifolds MO 2011, 1 odp. ✓
- 19 What's the Kirby Diagram of a universal $\mathbb{R}^4$? MO 2011, 1 odp.
- 19 What's about "quantum modular forms"? MO 2011, 2 odp.
- 19 Propagation of an error in the LMO invariant? (Revision: I don't think LMO is wrong!) MO 2010, 1 odp. ✓
- 19 What is a path in K-theory space? MO 2010, 1 odp. ✓
- 19 Lie algebra automorphisms and detecting knot orientation by Vassiliev invariants MO 2010, 2 odp.
- 19 Is the 4x5 chessboard complex a link complement? MO 2010, 2 odp. ✓
- 19 Diffeomorphism of 3-manifolds MO 2009, 6 odp. ✓
- 19 Does the super Temperley-Lieb algebra have a Z-form? MO 2009, 3 odp. ✓
- 18 $3$-manifold that is a surgery on a knot MO 2024, 2 odp.
- 18 Which knots appear as the singular locus of a polyhedral metric on the 3-sphere? MO 2021, 2 odp.
- 18 Why do we buy the Mazur Swindle in knot theory? MSE 2019, 2 odp. ✓
- 18 The Lefschetz operator MO 2018, 2 odp. ✓
- 18 Vietoris-Rips complex homology of a higher degree than the ambient dimension MO 2018, 3 odp. ✓
- 18 Cohomology of braid groups with coefficients in the group ring MO 2017, 1 odp. ✓
- 18 A search for a sequence of $6$-manifolds MO 2017, 1 odp. ✓
- 18 What is the mirror of symplectic field theory? MO 2016, 1 odp.
- 18 Classification of knots by geometrization theorem MO 2016, 3 odp. ✓
- 18 Is tightness decidable? MO 2015, bez odp.
- 18 Human Knot game MO 2015, bez odp.
- 18 Classification of tangles? MO 2014, 3 odp. ✓
- 18 Braid groups and the fundamental group of the configuration space of $n$ points MSE 2012, 1 odp. ✓
- 18 3-manifolds with solvable fundamental group MO 2012, 3 odp.
- 18 How to see isometries of figure 8 knot complement MO 2011, 3 odp.
- 18 A question on classification of almost complex structures on $4$-manifolds MO 2011, 1 odp. ✓
- 18 explicit "exotic" charts MSE 2011, 2 odp.
- 18 Proofs of Rohlin's theorem (an oriented 4-manifold with zero signature bounds a 5-manifold) MO 2010, 1 odp.
- 18 Loop spaces and infinite braids MO 2010, 1 odp. ✓
- 18 Is there an "arithmetic cobordism category"? MO 2010, 1 odp.
- 18 The kernel of the map from the handlebody group to Outer automorphisms of a free group MO 2010, 2 odp. ✓
- 18 Who thought that the Alexander polynomial was the only knot invariant of its kind? MO 2010, 4 odp. ✓
- 18 Almost complex 4-manifolds with a "holomorphic" vector field MO 2009, bez odp.
- 18 Classification of homology 3-spheres? MO 2009, 4 odp.
- 17 Set-theoretic solutions to the Yang-Baxter equations and racks MO 2026, 1 odp.
- 17 Prove there is no isotopy interchanging a pair of figure-eight spaces linked with two lines MSE 2025, 1 odp. ✓
- 17 ID needed for one mathematician in group photo MO 2023, 1 odp. ✓
- 17 Symmetries of local systems on the punctured sphere MO 2023, bez odp.
- 17 Examples of the Thurston geometries with transitive Lie group action MO 2021, 3 odp. ✓
- 17 Weinstein neighborhood theorem for Lagrangians with Legendrian boundary MO 2018, 1 odp. ✓
- 17 To what extent are homeomorphisms just deformations? MSE 2018, 1 odp. ✓
- 17 Lowest Dimension for Counterexample in Topological Manifold Factorization MO 2018, 1 odp. ✓
- 17 In what kind of space does this object live? MSE 2017, 3 odp.
- 17 Are there two non-equivalent exotic structures on $\mathbb{R}^4$ coming from topologically slice, non-slice knots? MO 2017, bez odp.
- 17 Is Rasmussen's s-invariant of a knot an invariant of a 4-manifold? MO 2015, 1 odp.
- 17 Descriptive Complexity of Knot Equivalence MO 2015, 2 odp. ✓
- 17 Smooth 4-manifolds with $E_8$ intersection form MO 2015, 1 odp.
- 17 Is the torus the union of two connected, simply-connected open sets? MSE 2014, 2 odp. ✓
- 17 What is the state of the art for algorithmic knot simplification? MO 2013, 3 odp. ✓
- 17 Random rings linked into one component? MO 2013, 2 odp. ✓
- 17 Visualize Fourth Homotopy Group of $S^2$ MSE 2013, 1 odp.
- 17 An introduction to Khovanov homology, Heegaard-Floer homology MSE 2013, 3 odp. ✓
- 17 Does this subgroup of "even braids" have a name? MO 2013, 3 odp. ✓
- 17 A simply-connected closed surface is a sphere MSE 2013, 3 odp.
- 17 How Many 4-Manifolds are Symplectic? MO 2012, 4 odp. ✓
- 17 Is there a notion of a chain complex with corners? MO 2012, 1 odp.
- 17 Formally undecidable problems on finitely presented quandles MO 2011, 2 odp. ✓
- 17 How to motivate the skein relations? MO 2010, 9 odp. ✓
- 17 can you fool SnapPea? MO 2009, 5 odp.
- 16 Computationally inspired theorems and conjectures in knot theory MO 2025, 6 odp.
- 16 What's the "actual" shape of a black hole accretion disk? MO 2019, 2 odp. ✓
- 16 Link such that deleting any two components leaves an unlink MO 2018, 2 odp. ✓
- 16 Do contact and CR structures have corresponding $G$-structures? MO 2017, 3 odp.
- 16 Which closed 3-manifolds can be embedded in $R^4$? MO 2016, 2 odp.
- 16 General relationship between braid groups and mapping class groups MSE 2015, 1 odp.
- 16 Three-manifolds having a Reebless foliation but not a taut one MO 2015, 1 odp.
- 16 An Illustrated Classification of Knots. MSE 2015, 5 odp. ✓
- 16 Thurston geometries in dimension 4 MO 2014, 1 odp. ✓
- 16 Can infinitely many alternating knots have the same Alexander polynomial? MO 2014, 1 odp. ✓
- 16 Is there a "unique" homogeneous contact structure on odd-dimensional spheres? MO 2014, 3 odp. ✓
- 16 Does a small-area sphere in a 3-manifold bound a small ball? MO 2014, 2 odp.
- 16 Looking for "large knot" examples MO 2013, 3 odp. ✓
- 16 How to get 3-manifold, Knots from Number Fields MO 2013, 1 odp.
- 16 Visualize Fourth Homotopy Group of $S^2$ MO 2013, 3 odp.
- 16 open problems in Seiberg-Witten Theory on 4-Manifolds MO 2013, 3 odp. ✓
- 16 Computer-aided homology computations MO 2012, 3 odp.
- 16 Shortest Casson tower containing a slice disk for the attaching curve MO 2012, 1 odp. ✓
- 16 Smooth structures on the connected sum of a manifold with an Exotic sphere MO 2010, 2 odp. ✓
- 16 Slice knots and exotic $\mathbb R^4$ MO 2010, 2 odp. ✓
- 16 Is the pure braid group on three strands generated as a normal subgroup of the braid group by the six-crossing braid? MO 2010, 5 odp. ✓
- 16 $\operatorname{SL}_2(\mathbb R)$ Casson invariant? MO 2010, 2 odp. ✓
- 16 Knots that unknot in a manifold MO 2009, 2 odp. ✓
- 16 Are there piecewise-linear unknots that are not metrically unknottable? MO 2009, 2 odp. ✓
- 16 HOMFLY and homology; also superalgebras MO 2009, 4 odp. ✓
- 15 When can we extend a diffeomorphism from a surface to its neighborhood as identity? MO 2024, bez odp.
- 15 Nonsmoothable 4-manifolds MO 2024, bez odp.
- 15 Unlinked interlocking planar polygons MO 2022, 4 odp. ✓
- 15 Are hyperbolic $n$-manifolds recursively enumerable? MO 2022, 1 odp. ✓
- 15 Unknot recognition - how tangled does it get? MO 2021, 1 odp. ✓
- 15 Homology software MO 2021, 7 odp.
- 15 Why is the thing dual to a "meridian" called a "longitude"? MO 2021, 2 odp. ✓
- 15 Atiyah's proof of the moduli space of SD irreducible YM connections MO 2020, 1 odp. ✓
- 15 Status of a conjecture of C.T.C. Wall? MO 2020, 1 odp. ✓
- 15 Which convex bodies can be captured in a knot? MO 2020, 1 odp.
- 15 P-adic Volume Conjecture MO 2019, 1 odp.
- 15 Examples of odd-dimensional manifolds that do not admit contact structure MO 2019, 3 odp. ✓
- 15 Knots with high unknotting number relative to their genus MO 2017, bez odp.
- 15 Structure of Gordian graph of knots MO 2016, bez odp.
- 15 $S^3$ as cyclic branched cover of itself MO 2016, 1 odp. ✓
- 15 Braid group on 4 strands MO 2015, 3 odp. ✓
- 15 Examples of n+1D TQFT with 1 dimensional Hilbert spaces on n-torus and n-sphere but higher dimensional Hilbert spaces on other n-manifolds MO 2015, 1 odp. ✓
- 15 A fun game related to knot theory MO 2015, 1 odp.
- 15 How many traces are there on Temperley-Lieb, Fuss-Catalan, Iwahori-Hecke, Birman-Wenzl-Murakami-Kauffman, ... algebras? MO 2015, 1 odp. ✓
- 15 Why are Witten-Reshetikhin-Turaev invariants expected to be integral? MO 2014, 1 odp. ✓
- 15 Vector field on 3-sphere MO 2013, 3 odp. ✓
- 15 Semidirect product decomposition of the Borromean rings group MO 2013, 2 odp. ✓
- 15 Relation Between Truncated Braid Groups and Regular Tilings of the Complex and Hyperbolic Plane MO 2013, bez odp.
- 15 How to start learning knot theory? MSE 2013, 3 odp.
- 15 Can the SL_2 character variety of a three-manifold be nonreduced? MO 2013, 1 odp. ✓
- 15 Embedding compact (boundaryless?) $n$-manifolds in $n$-dimensional real space MSE 2012, 4 odp. ✓
- 15 compressibility of Seifert surface after 0-surgery MO 2012, 1 odp.
- 15 Representations of quantum groups at roots of unity MO 2012, bez odp.
- 15 Is there a periodic table for knots? MO 2011, 2 odp.
- 15 Where are $+$, $-$ and $\infty$ in bordered Heegaard-Floer theory? MO 2011, 1 odp. ✓
- 15 Maximal euler characteristic of surfaces bounding two fixed curves MO 2011, 3 odp. ✓
- 15 Why are knot invariants best organized as polynomials? MSE 2010, 2 odp. ✓
- 14 Visualizing the ideal triangulation of $S^3\setminus P(-2,3,7)$ MO 2026, bez odp.
- 14 What is the current status of Lee and Li's $10/8$-conjecture in $4$-manifold topology? MO 2026, 1 odp. ✓
- 14 What is $\pi_{23}(S^2)$? MO 2024, 1 odp.
- 14 Symmetric spaces are quandles. Is this important? MO 2022, bez odp.
- 14 Is there an algorithm for the genus of a knot? MO 2022, 4 odp. ✓
- 14 Quotient of solid torus by swapping coordinates on boundary MO 2021, 3 odp. ✓
- 14 Zeroes of the Alexander polynomial for achiral knots MO 2021, 2 odp.
- 14 Lagrangian of Reshetikhin-Turaev TFT's MO 2021, 2 odp.
- 14 Very particular kind of 4-manifolds. Classification MO 2020, 2 odp. ✓
- 14 Example of homeomorphism of $3$-manifolds MO 2020, 6 odp. ✓
- 14 Does the fundamental group detect the unlink? MSE 2020, 1 odp. ✓
- 14 Does every $SL_2\mathbb{C}$ representation of a closed oriented surface extend over a compact oriented three-manifold? MO 2020, 3 odp. ✓
- 14 Quotient of Three Dimensional Torus by Permutation on Coordinates MO 2019, 1 odp. ✓
- 14 Are there exotic twisted doubles of 4-manifolds? MO 2019, bez odp.
- 14 Which knots are singularities of a hyperbolic cone-manifold structures on $S^3$? MO 2018, 2 odp. ✓
- 14 Does Lackenby's polynomial bound on knot moves imply polynomial mixing in "Quantum Money From Knots?" MO 2017, 1 odp. ✓
- 14 Were 3-manifolds with $\sec>0$ known to be space forms before Ricci flow? MO 2017, 1 odp.
- 14 Construction of invariants of 4-manifolds with the Kirby calculus MO 2016, 2 odp. ✓
- 14 hyperbolic structure on Figure–8 knot complement MO 2015, 4 odp.
- 14 Obtain any 3-manifold from repeating surgeries on knots in $S^3$ MO 2015, 4 odp. ✓
- 14 Is there a "good" reason that the universal central extension of $SL(2,\mathbb Z)$ is $Br_3$? MO 2014, 1 odp. ✓
- 14 Is there a domain in $\mathbb{R}^3$ with finite non-trivial $\pi_1$ but $H_1=0$? MSE 2014, 1 odp. ✓
- 14 What properties of knots lead Lord Kelvin to hypothesize that atoms were knots in the ether? MO 2014, 4 odp. ✓
- 14 Kontsevich integral : state of the art MO 2013, 1 odp. ✓
- 14 How did Chern pictured the first Chern number? MSE 2013, 1 odp. ✓
- 14 Irreducible homology 3-spheres that bound smooth contractible manifolds MO 2012, 3 odp. ✓
- 14 Categorification of finite type invariants MO 2012, bez odp.
- 14 Why is the knot group of the trefoil isomorphic to the group of 3-braids? MSE 2012, 3 odp.
- 14 Understanding the Hopf fibration MSE 2012, 2 odp. ✓
- 14 What is the metamathematical interpretation of knot diagrams? MO 2012, 5 odp.
- 14 Question about Thurston's paper "A norm for the homology of 3-manifolds" MO 2012, 1 odp. ✓
- 14 Explicit embeddings of Cappell-Shaneson knots MO 2011, 2 odp. ✓
- 14 Splitting of homomorphism from cactus group to permutation group MO 2011, bez odp.
- 14 Detecting a cover of the figure-8 knot complement MO 2011, 1 odp. ✓
- 14 Why Lagrangian cobordism? MO 2010, 1 odp.
- 14 Are homological knot invariants of finite type? MO 2010, 1 odp.
- 14 Why is the 3D case so rich? MSE 2010, 8 odp.
- 14 Flat SU(2) bundles over hyperbolic 3-manifolds MO 2009, 3 odp. ✓
- 13 Non-constructive proofs for the infinitude of prime knots? MO 2026, 2 odp. ✓
- 13 Existence of odd integer solutions to a system of elementary symmetric equations MO 2025, 1 odp.
- 13 Fundamental group of the complement of a codimension two submanifold MO 2024, 2 odp.
- 13 What does $\mathrm{Conf}_n(M)^{h S_n}$ look like? MO 2024, 2 odp. ✓
- 13 Low dimensional homotopy groups of $\operatorname{Top}(4)$ MO 2024, 1 odp. ✓
- 13 Classification of 3-dimensional manifolds with boundary MO 2021, 1 odp. ✓
- 13 Roadmap for L-Theory MO 2021, 1 odp. ✓
- 13 $0$-surgeries on trefoil and figure-eight MO 2020, 5 odp. ✓
- 13 Relating smooth concordance and homology cobordism via integral surgeries MO 2020, 2 odp. ✓
- 13 Cobordism and Kirby calculus MO 2020, 2 odp. ✓
- 13 What is the state of research on finding all prime knots with 17 crossings? MO 2019, 1 odp.
- 13 Which knot invariants have no known diagram-independent descriptions? MO 2019, 1 odp.
- 13 Example of two exotic closed 4-manifolds s.t. SW(X)=0 MO 2019, 2 odp. ✓
- 13 SL(2, C)-representation of a knot MO 2019, 3 odp.
- 13 Higher homotopical information in racks and quandles MO 2018, bez odp.
- 13 Classification of unitary modular tensor categories (UMTCs) MO 2017, 1 odp. ✓
- 13 Solving ODE via contact geometry MO 2017, 2 odp.
- 13 Gap in Przytycki's computation of the skein module of links in a handlebody? MO 2017, 2 odp.
- 13 Is there a Handle Approximation theorem? MO 2017, bez odp.
- 13 Given a Kirby diagram of a 4-manifold, what's its homotopy 2-type? MO 2017, 2 odp. ✓
- 13 Is there a polynomial-time algorithm for untangling the unknot? MO 2016, 3 odp.
- 13 Fundamental group of $\mathbb{R}^3$ minus trefoil knot MSE 2016, 2 odp. ✓
- 13 Prerequisites for studying Perelman's proof of the Geometrization Conjecture MSE 2015, 1 odp. ✓
- 13 3-manifolds with isomorphic fundamental groups MO 2015, 1 odp.
- 13 Geometric intersection with incompressible surfaces MO 2015, 1 odp. ✓
- 13 Why is the Mazur swindle named so? MSE 2014, 1 odp. ✓
- 13 Applications of TQFTs beyond physics MSE 2013, 1 odp.
- 13 Mapping class groups of small Seifert-fibred 3-manifolds MO 2013, 1 odp. ✓
- 13 Are Turaev–Viro invariants secretly a discretized path integral? MO 2013, 1 odp. ✓
- 13 When do two positive braids represent the same link? MO 2013, 3 odp.
- 13 Distinguishing 3-manifolds by homologies of covers MO 2013, 1 odp. ✓
- 13 For an $n$-dimensional object, how many types of holes are possible? MSE 2012, 1 odp. ✓
- 13 Integer matrices with a strange divisibility property MO 2012, 1 odp.
- 13 Best Computational Knot Invariants MO 2012, 5 odp.
- 13 Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group? MSE 2012, 1 odp. ✓
- 13 Maslov index and Heegard Floer homology MO 2012, 2 odp. ✓
- 13 Best known Margulis constants? MO 2012, 3 odp. ✓
- 13 Heegaard splitting of covering hyperbolic manifold. MO 2012, 2 odp. ✓
- 13 Traces on Hecke algebras and the Jones polynomial MO 2011, 2 odp. ✓
- 13 Fox differential calculus and the Alexander invariant of a link MO 2011, 1 odp. ✓
- 13 Random Reidemeister moves to unknot MO 2011, 3 odp. ✓
- 13 Incompressible surfaces in an open subset of R^3 MO 2011, 1 odp. ✓
- 13 Polynomial contact structures on $RP^3$ MO 2011, 6 odp. ✓
- 13 Algorithm for detecting ribbon or slice links? MO 2011, 3 odp. ✓
- 13 Gromov-Witten invariants counting curves passing through two points MO 2010, 1 odp.
- 13 Does a compact negatively curved manfiold of dimension 4 admit a cover of finite degree? MO 2010, 1 odp. ✓
- 13 Minimal-length embeddings of braids into R^3 with fixed endpoints MO 2010, 4 odp. ✓
- 13 Is there a non-trivial knot with trivial Homfly polynomial? MO 2010, 1 odp. ✓
- 12 Fundamental group of a complement of a certain graph MSE 2025, bez odp.
- 12 Property P and R for general 3-manifolds MO 2024, 2 odp.
- 12 Is the Lipschitz structure on $\mathbb{S}^4$ unique? MO 2023, bez odp.
- 12 The second coefficient of the Conway polynomial from Knot Floer homology MO 2023, bez odp.
- 12 Definition of Thurston's skinning map MO 2023, 1 odp. ✓
- 12 How wild can an open topological 3-manifold be if it has a compact quotient? MO 2022, 1 odp. ✓
- 12 Does $(S^1\times S^3)\#(S^1\times S^3)\#(S^2\times S^2)$ admit a symplectic form? MO 2022, 1 odp. ✓
- 12 Fundamental group of Homeo($\mathbb{R}^n$) MSE 2021, bez odp.
- 12 3-manifolds with stacked links MO 2021, bez odp.
- 12 Revisiting Gordon-Luecke theorem MO 2021, 1 odp. ✓
- 12 Unknotted $S^{n-2}$ in $S^n$ MO 2021, 1 odp. ✓
- 12 Artin groups of type $D_n$ as mapping class groups? MO 2021, 1 odp.
- 12 What is the degree of an n-fold branched cover over a trefoil? MSE 2021, 1 odp. ✓
- 12 3-manifold foliated by circles is Seifert fibered MO 2020, bez odp.
- 12 Relations between quantum groups at roots of unity, modular representation theory, and physics MO 2020, 2 odp.
- 12 Two Dehn fillings yielding the same lens space? MO 2020, 2 odp. ✓
- 12 Searching for a Thurston paper with egg / 3-manifold analogy? MO 2019, 1 odp. ✓
- 12 Minimum number of relations that must be added to make a group abelian MO 2019, 1 odp. ✓
- 12 On a corollary of a paper by Colin and Honda MO 2019, 1 odp.
- 12 Does there exist a discrete gauge theory as a TQFT detecting the figure-8 knot? MO 2019, 1 odp.
- 12 Minimal area of Seifert surfaces MO 2018, 2 odp. ✓
- 12 Known obstruction for efficient computation of Stable homotopy groups? MO 2018, bez odp.
- 12 Formality of the 2nd ordered configuration space of a closed Riemann surface MO 2018, 1 odp.
- 12 Understanding a formula in Ozsvath-Szabo MO 2018, bez odp.
- 12 About Donaldson-Kronheimer's book on four dimensional manifold MO 2017, 3 odp. ✓
- 12 Is the fundamental group of any compact hyperbolic 3-manifold embeddable into a p-adic group? MO 2017, 2 odp. ✓
- 12 Elementary proof that knot complements are path-connected MO 2016, 4 odp.
- 12 How many different knot types can have the same shadow (projection) MO 2016, 3 odp.
- 12 Homology 4-balls with boundary $S^3$ MSE 2016, 1 odp. ✓
- 12 What are the different ways of defining 3-manifolds? MO 2016, 1 odp.
- 12 Quasi-isometric rigidity of Nil MO 2016, 2 odp. ✓
- 12 What's true in $\mathbb{R}^4$, false in $\mathbb{R}^3$ and uninteresting in $\mathbb{R}^5$? MSE 2016, 3 odp. ✓
- 12 $\pi_1$ of the moduli of G-bundles on elliptic curves and the double affine braid group MO 2015, 1 odp.
- 12 Piecewise linear (PL) structures on $\mathbf R^4$ MO 2015, 1 odp. ✓
- 12 Jones Polynomial from Statistical Mechanics MSE 2014, 2 odp.
- 12 Excluding exotic PL structures on S^4 MO 2014, bez odp.
- 12 The importance of differentiable dynamics from outside dynamics? (mainly topology) MO 2014, 2 odp.
- 12 The Alexander polynomial of a slice knot, Reidemeister tosion, Whitehead group MO 2014, 2 odp.
- 12 The Markov trace via Bott-Samelson fibers? MO 2014, bez odp.
- 12 Wanted: a nontrivial weakly inadmissible Heegaard diagram MO 2014, 1 odp. ✓
- 12 Is there a reasonable definition of TQFTs for n-cobordisms with connected inputs/outputs? MO 2013, 1 odp.
- 12 Representing SU(3) with 3 ropes in 3 dimensions MO 2013, 3 odp.
- 12 Fibered knot with periodic homological monodromy MO 2013, 3 odp. ✓
- 12 Genus one fibered links MO 2013, 2 odp.
- 12 'Contactization' and Symplectization MO 2012, 1 odp. ✓
- 12 Knot diagrams, sets of moves and equivalence relations MO 2012, 4 odp. ✓
- 12 Knot theory question: bridge number vs. min generators of fundamental group of complement MO 2012, 3 odp. ✓
- 12 S-matrix for the HOMFLY/Hecke category MO 2012, 2 odp.
- 12 Why is Heegaard Floer Homology defined in terms of Sym$^g\Sigma_g$ instead of Pic$^g\Sigma_g$? MO 2012, 1 odp. ✓
- 12 Handlebody decomposition of an open 4-manifold MO 2012, 1 odp. ✓
- 12 Why are $S^3-K$ and $\operatorname{SL}(2,\mathbb R)/{\operatorname{SL}(2, \mathbb Z)}$ diffeomorphic? Here $K$ is a trefoil knot in $S^3$ MO 2012, 3 odp. ✓
- 12 Lower bounds on dimensions of faithful representations of braid groups MO 2012, 1 odp.
- 12 Knot Invariants from Twisted Quantum Doubles MO 2012, 2 odp.
- 12 Orbifold fundamental group and configuration space MO 2012, 1 odp.
- 12 Why "Categorify"? Relating to link/knot homologies... MO 2012, 5 odp. ✓
- 12 Geometry of Whitehead manifolds. MO 2011, 1 odp. ✓
- 12 Borromean braids MO 2010, 2 odp. ✓
- 12 Is the cut locus of a generic point in a hyperbolic manifold a generic polyhedron? MO 2010, 3 odp. ✓
- 12 Geometrization for 3-manifolds that contain two-sided projective planes MO 2010, 2 odp. ✓
- 12 Is there a procedure for obtaining all knots in S^3? MO 2010, 3 odp. ✓
- 12 Is there a canonical Hopf structure on the center of a universal enveloping algebra? MO 2010, 2 odp. ✓
- 12 slice-ribbon for links (surely it's wrong) MO 2010, 2 odp. ✓
- 11 Gottschalk conjecture MO 2026, 1 odp.
- 11 The Alexander polynomial via the reduced Burau representation MO 2026, 2 odp. ✓
- 11 unknotting number for k11a266 MO 2025, 1 odp. ✓
- 11 Simplicial volume of singular 3-manifolds MO 2025, bez odp.
- 11 Is it an easy consequence of Schoenflies theorem that any Jordan curve can be deformed to $\mathbf{S}^1$? MSE 2025, 1 odp.
- 11 Diagrammatic 2-knot invariants? MO 2025, bez odp.
- 11 Knots having the same Alexander module which are not S-equivalent MO 2024, 2 odp. ✓
- 11 Space of thick ending laminations MO 2024, bez odp.
- 11 Do triple-linked graphs exist? MO 2024, 3 odp. ✓
- 11 Does the Hodge star operator determine the metric? MO 2024, 2 odp. ✓
- 11 Example of three dimensional atoroidal Poincaré duality group with some pathology MO 2023, 1 odp. ✓
- 11 If the universal cover has three boundary components, does it have infinitely many? MO 2023, 1 odp. ✓
- 11 Knot Diffie–Hellman MO 2023, 2 odp. ✓
- 11 Bing sling isotopy to unknot MO 2022, 2 odp.
- 11 On an Artin (?) subgroup of braid groups MO 2022, bez odp.
- 11 Contact structures associated to taut foliations MO 2022, bez odp.
- 11 Small examples of exceptional hyperbolic Dehn Filling of hyperbolic manifolds MO 2022, 3 odp.
- 11 How to prove the product of Whitehead manifold and $\mathbb{R}$ is homeomorphic to $\mathbb{R}^4$? MO 2022, 1 odp. ✓
- 11 The knot $K\subset \Bbb S^3$ is smoothly slice, but the disc $D\subset \Bbb D^4$ is only locally flat. Can $D$ be smoothed? MO 2022, 2 odp. ✓
- 11 Natural knot homology MO 2022, bez odp.
- 11 Isotopy on embedded 3-manifolds in 4-manifolds MO 2021, bez odp.
- 11 Deep learning for knot theory. Classification MO 2021, 3 odp. ✓
- 11 Properties a triangulation must have in order to describe a manifold MO 2021, 1 odp. ✓
- 11 Knot groups with big number of generators MO 2021, 2 odp. ✓
- 11 Torus trick without surgery theory MO 2020, bez odp.
- 11 Surjective homomorphisms between braid groups MO 2020, bez odp.
- 11 Parallelizability of 3-manifolds MO 2019, 2 odp.
- 11 What sort of groups are generated by a single conjugacy class? MSE 2019, 3 odp.
- 11 Reference request: A knot is tame if and only if it has a tubular neighbourhood MO 2019, 1 odp.
- 11 Linking number definitions: equivalent or not? MSE 2019, 2 odp. ✓
- 11 Reference request for wild 3-manifolds MO 2019, 3 odp. ✓
- 11 Is there a known invariant for knotted surfaces defined by skein relations? MO 2019, 2 odp.
- 11 Which 3-manifolds are known to admit exotic pairs of bounding 4-manifolds? MO 2018, 1 odp. ✓
- 11 Question about the unknot and grid in $\Bbb R^3$ MSE 2018, 1 odp. ✓
- 11 How hard is it to guess Kuperberg's certificate of knottedness? MO 2018, 1 odp. ✓
- 11 Why is Khovanov homology considered a 'categorification'? MO 2017, 1 odp. ✓
- 11 Is a 4-dimensional submanifold of a spin manifold always spin? MO 2017, 1 odp. ✓
- 11 Monopole Floer Homology vs. Heegaard-Floer theory MO 2017, 1 odp. ✓
- 11 Can Khovanov homology have arbitrarily large torsion? MO 2017, 1 odp. ✓
- 11 Volume of an ideal simplex in $\mathbb{H}^3$, idea/intuition behind result MO 2016, 2 odp. ✓
- 11 Cohomology of a configuration space of points on $\mathbb C^\times$ with an additional restriction MO 2016, bez odp.
- 11 Random links and $3$-manifolds MO 2016, 3 odp. ✓
- 11 Distance between two knots MO 2015, 4 odp. ✓
- 11 Which two knots are isotopic but not ambient isotopic? MSE 2015, 2 odp. ✓
- 11 Introductory article of knot Heegaard Floer Homology MO 2015, 1 odp.
- 11 Morse number of the Poincaré homology sphere MO 2015, 1 odp. ✓
- 11 Software for computing Thurston's unit ball MO 2014, 2 odp. ✓
- 11 Did Milnor and Thurston write anything else about characteristic numbers for 3-manifolds? MO 2014, 1 odp. ✓
- 11 Relation between the Alexander module of a link and intermediate free abelian covers MO 2014, 1 odp. ✓
- 11 Conjugation Quandles and... "Quandle-Groups"? From quandles to Groups MO 2014, 4 odp.
- 11 Fox re-imbedding theorem in dimension four MO 2014, bez odp.
- 11 Does the shortest path between two braids pass through string links? MO 2014, 1 odp.
- 11 Construction of the Casson invariant MO 2014, 1 odp. ✓
- 11 The homeomorphism problem for hyperbolic 3-manifolds and the virtual Haken theorem MO 2013, 2 odp. ✓
- 11 Invariants of high-dimensional knots MO 2013, 3 odp.
- 11 Provide a citation for the "spine lemma"? MO 2013, bez odp.
- 11 How fast does Ricci flow converge on the three-sphere? MO 2013, 1 odp. ✓
- 11 Is there a way to classify incompressible surfaces in $\Sigma \times [0,1]$? MO 2013, 4 odp. ✓
- 11 What is an interpretation of the relation in the cohomology of the pure braid groups? MO 2013, 1 odp.
- 11 Links which HOMFLY homology distinguish but the HOMFLY polynomial does not. MO 2013, 1 odp. ✓
- 11 Is a knotted trivalent graph determined by its set of unzips? MO 2013, 3 odp. ✓
- 11 How much do homological knot invariants improve the classification problem of knots? MO 2012, 1 odp.
- 11 Applications of knot theory to biology/pharmacology MO 2012, 3 odp.
- 11 When is the connected sum of manifolds orientation-independent? MO 2012, 2 odp. ✓
- 11 Existing proofs of Rokhlin's theorem for PL manifolds MO 2012, 2 odp. ✓
- 11 Algorithmic Borel finiteness for hyperbolic manifolds MO 2012, 1 odp.
- 11 Smooth four-manifolds with contractible universal cover MO 2011, 1 odp.
- 11 How to Classify $2$-Plane Bundles over $S^2$? MSE 2011, 1 odp. ✓
- 11 Number of the Reidemeister moves needed to transform one diagram into another one MO 2011, 2 odp. ✓
- 11 Is there a smooth $4$-manifold homeomorphic but not diffemorphic to $CP^2$? MO 2011, 1 odp. ✓
- 11 Exotic Manifolds from the inside MSE 2011, 1 odp. ✓
- 11 Is $Sym^g$ of a Riemann Surface of genus $g$ Calabi-Yau? MO 2011, 1 odp. ✓
- 11 Do the results of (1/n)-surgery determine the link?... MO 2011, 2 odp.
- 11 Is every virtual knot group an HNN extension? MO 2011, 2 odp.
- 11 Alexander polynomial or Reidemeister torsion for knotted surfaces? MO 2010, 3 odp. ✓
- 11 complexity of counting homomorphisms MO 2010, 1 odp. ✓
- 11 slice=ribbon generalization to higher genus + potential counterexamples to slice=ribbon. MO 2010, 3 odp.
- 11 Computing the structure of the group completion of an abelian monoid, how hard can it be? MO 2010, 6 odp. ✓
- 11 The De Rham Cohomology of $\mathbb{R}^n - \mathbb{S}^k$ MO 2009, 2 odp. ✓
- 10 What curves disconnect the torus MSE 2025, 2 odp. ✓
- 10 Is there a tame proof of "No anti-knots?" MSE 2025, 3 odp. ✓
- 10 Extension between the abelianization of the pure braid group and the symmetric group MO 2025, 3 odp. ✓
- 10 Dehn-twist on punctured 3-manifold MO 2024, 2 odp.
- 10 Is there a "simplest" way to embed a graph in 3-space? MO 2024, 2 odp. ✓
- 10 Why is the Whitehead product $[\iota_2, \eta] : \pi_4\mathbb{S}^2$ trivial? MSE 2023, bez odp.
- 10 Is there a notion of "knot category"? MO 2023, 1 odp. ✓
- 10 Doubles of 2-handlebodies MO 2023, 3 odp. ✓
- 10 Physics application of Wilson surface observables MO 2022, 1 odp. ✓
- 10 Is there any genus one knot other than $5_2$ with Alexander polynomial $2t^2-3t+2$? MO 2022, 4 odp. ✓
- 10 Is there a geometric interpretation of the second derivative of the Alexander polynomial at $1$? MO 2022, 1 odp. ✓
- 10 Isomorphism type of the knot concordance group MO 2022, 2 odp.
- 10 Coherence theorem in braided monoidal categories MO 2022, 2 odp. ✓
- 10 Is this drawing of $K_{4,4}$ knotted? MO 2021, 1 odp. ✓
- 10 Physical Approach to Knot Categorification MO 2021, bez odp.
- 10 Noncompact three-manifold with fundamental group isomorphic to a surface group MO 2021, 1 odp. ✓
- 10 If two long knots give the same knot, are the long knots isotopic? MSE 2021, 2 odp.
- 10 Presentations of mapping class groups in dimension $3$ MO 2021, 2 odp.
- 10 Topologically, what is a 'string' from string theory? MSE 2021, 1 odp. ✓
- 10 Where was it first shown that every homotopy self-equivalence of $S^1\times S^2$ is homotopic to a homeomorphism? MO 2021, 1 odp. ✓
- 10 Homotopy equivalent smooth 4-manifolds which are not stably diffeomorphic? MO 2020, 2 odp. ✓
- 10 4-dimensional cohomology $\mathbb{CP}^2$'s MO 2020, 2 odp. ✓
- 10 Ambient isotopy and isotopy MSE 2020, 1 odp. ✓
- 10 Fundamental group of the total space of an oriented $S^1$ fiber bundle over $T^2$ MSE 2020, 4 odp. ✓
- 10 Find a 4-manifold bounding a 3-torus with any abelian representation in SL_2 MO 2020, bez odp.
- 10 Mean curvature flow and knot theory MO 2020, 1 odp.
- 10 Is a gluing of homeomorphic Mazur manifolds diffeomorphic to $S^4$? MO 2020, 1 odp. ✓
- 10 Kirby calculus on Mazur manifolds MO 2020, 1 odp. ✓
- 10 Index of Dirac operator and Chern character of symmetric product twisting bundle MO 2020, 1 odp. ✓
- 10 Topological mapping class groups of 4-manifolds MO 2020, 1 odp. ✓
- 10 Finite quotients of surface braid groups MO 2020, bez odp.
- 10 Can an exotic diffeomorphism of the 4-ball change the isotopy class of an embedded surface? MO 2019, 1 odp. ✓
- 10 What are the possible linking matrices of a quasi-positive link? MO 2019, 2 odp. ✓
- 10 Is the quantum $\mathfrak{sl}_3$ invariant stronger than the quantum $\mathfrak{sl}_2$ invariant? MO 2019, 1 odp. ✓
- 10 Why can't I link these three loops together? MSE 2019, 2 odp. ✓
- 10 A question about dimension of SL(2,C) character variety of knot group MO 2019, 1 odp.
- 10 Relation between the Casson-Gordon invariants $\sigma(M, \chi)$ and $\sigma_r(M, \chi)$ MO 2018, 1 odp. ✓
- 10 Hyperbolic $3$-manifold groups that embed in compact Lie groups MO 2018, 2 odp. ✓
- 10 Is there a closed non-smoothable 4-manifold with zero Euler characteristic? MO 2018, 3 odp. ✓
- 10 Is the Lisca-Matic bound (aka slice-Bennequin bound) strictly stronger than the Bennequin bound? MO 2018, 2 odp.
- 10 Tangled random triangles: One giant component? MO 2018, 2 odp.
- 10 Understanding a Bill Thurston popularization of knot complements MSE 2018, 2 odp. ✓
- 10 Computing the equivariant cohomology class of a Białynicki-Birula cell MO 2017, bez odp.
- 10 How did Dehn prove that the trefoil is chiral? MSE 2017, 1 odp. ✓
- 10 Is the configuration space of ordered triples of distinct points in the four-edge banana graph homotopy equivalent to a surface of genus 13? MO 2017, 2 odp.
- 10 What is the preimage of a braid in a covering space branched over the braid? MO 2017, bez odp.
- 10 Calabi-Yau manifolds and knot theory MO 2017, 1 odp. ✓
- 10 On the geometrization of double branched covers MO 2016, 1 odp. ✓
- 10 Homeomorphic but Non-Conjugate Mapping Tori MO 2016, 3 odp.
- 10 How to prove a regular pentagon is formed by knotting a rectangular strip of paper? MSE 2016, 1 odp.
- 10 Elements of infinite order in the topological mapping class group MO 2016, 1 odp. ✓
- 10 Compatibility of spherical and hyperbolic geometry for fibred knots MO 2016, bez odp.
- 10 Rational homology sphere that is not Seifert manifold MO 2016, 2 odp. ✓
- 10 Homotopically trivial $2$-sphere on $3$-manifold MSE 2015, 2 odp. ✓
- 10 Doubly slice knots and an embedding of 4-manifold MO 2015, bez odp.
- 10 Kernel of "Hat to Plus" in Heegaard Floer Homology MO 2015, bez odp.
- 10 Obtain 4-manifolds by repeating surgeries of submanifolds in $S^4$ MO 2015, 2 odp. ✓
- 10 Alexander polynomial in branched covers MO 2015, bez odp.
- 10 Which mathematical topics is knot theory related to? MSE 2014, 2 odp. ✓
- 10 What fraction of knots are ribbon knots? MO 2014, bez odp.
- 10 Reference on representations of knot groups MO 2014, 7 odp.
- 10 Heegaard genera of arithmetic 3-manifolds MO 2014, 2 odp. ✓
- 10 Is every knot unavoidable in the embeddings of some graph? MO 2014, 2 odp. ✓
- 10 When were bordered Heegaard Floer homology's DA bimodules invented? MO 2014, bez odp.
- 10 References about 3-manifolds MO 2014, 3 odp.
- 10 What are Kirby diagrams of candidate exotic 4-manifolds? MO 2014, 1 odp. ✓
- 10 Equivariant smoothing of PL structures on $S^3$ MO 2013, 2 odp. ✓
- 10 Heegaard genus of the hyperbolic dodecahedral space (is it 3 or 4?) MO 2013, 1 odp.
- 10 Showing every knot has a regular projection using differential topology MSE 2013, 1 odp. ✓
- 10 Heegaard genus of covers of cusped hyperbolic 3-manifold MO 2013, 1 odp.
- 10 H*(braid group, irrep of symmetric group) = ? MO 2013, 2 odp. ✓
- 10 Framed Cobordism Classes of links in $\mathbb R^3$ MSE 2013, 2 odp. ✓
- 10 Are small knots generic? MO 2013, 2 odp.
- 10 Diagrammatic proof of unique prime decomposition of knots MO 2013, 1 odp. ✓
- 10 3-manifolds fibering over the circle and mapping tori MSE 2013, 1 odp. ✓
- 10 Knots and graphs MSE 2013, 2 odp.
- 10 Hyperbolic 3-manifolds with no geometrically finite structure MO 2013, 1 odp. ✓
- 10 Visualising locally flat embeddings of surfaces in R^4 MO 2012, 1 odp.
- 10 Examples of 3-manifolds with RFRS fundamental group MO 2012, 1 odp. ✓
- 10 $6j$-symbols for $U_q({\mathfrak{sl}}_n)$ and colored HOMFLY polynomials MO 2012, 2 odp.
- 10 Circle-arc number of a knot MO 2012, 3 odp.
- 10 Torsion in cuspidal cohomology MO 2012, 3 odp.
- 10 What is (explicitly) known about the SL(n,C) character varieties of 3-manifolds? MO 2012, 1 odp.
- 10 Higher homotopy groups of slice disk complement MO 2012, 2 odp. ✓
- 10 Self-tightening knot MO 2012, 1 odp.
- 10 Putting Geometries on Knot Complements MSE 2011, 3 odp. ✓
- 10 Topological rigidity of compact manifolds in dimension three MO 2011, 1 odp. ✓
- 10 Which mapping tori are Seifert manifolds? MSE 2011, 2 odp. ✓
- 10 Embedding the product of three circles in the 4-sphere. MO 2011, 2 odp. ✓
- 10 Is there a table of (fibred knot) monodromies? MO 2011, 2 odp. ✓
- 10 Reference request for manifold learning MO 2011, 4 odp.
- 10 Lower bound on number of tetrahedra needed to triangulate a knot complement MO 2010, 1 odp. ✓
- 10 Categorical Schur's Lemma MO 2010, 1 odp.
- 10 Is the spectrum of closed geodesics in a closed hyperbolic 3-manifold asymptotically homogeneously dense? MO 2010, 1 odp. ✓
- 10 The total curvature of very knotty knots MO 2010, 1 odp. ✓
- 10 A Reference for Schubert's Theorem MO 2010, 3 odp. ✓
- 10 Möbius and projective 3-manifolds MO 2010, 5 odp. ✓
- 10 Krull rings and determinantal invariants MO 2010, bez odp.
- 10 Higher order quandle MO 2009, 2 odp.
- 10 Ramified covers of 3-torus MO 2009, 1 odp. ✓
- 10 Has anyone tabulated 2-knots? Would anyone like to try? MO 2009, 2 odp. ✓
- 9 Can $n=7$ padlocks interlock in a way that opening any $m=3$ of them unlock them? MSE 2024, 2 odp. ✓
- 9 Does $U_q (\mathfrak{sl}_2)$ have a universal $R$-matrix? MO 2023, 1 odp. ✓
- 9 $U_q(\mathfrak{g})$ is to knot theory as $U_q(\hat{\mathfrak{g}})$ is to $?$ MO 2023, bez odp.
- 9 Links and non-orientable surfaces MO 2022, 1 odp. ✓
- 9 On trivial mapping class group of 3-manifolds MO 2022, 1 odp. ✓
- 9 Which knot complements are double branched covers? MO 2022, 4 odp. ✓
- 9 A knot in the solid torus and a Mazur manifold MO 2022, 2 odp. ✓
- 9 Gordon's approach: slice knots and contractible $4$-manifolds MO 2022, 2 odp. ✓
- 9 Quadrisecants of knots MO 2022, 1 odp.
- 9 Is this object a simpler Brunnian "rubberband" loop than those studied? MSE 2021, bez odp.
- 9 Algebraic context for Mednykh's formula? MO 2021, bez odp.
- 9 Rational slice knot that is not slice MO 2020, 2 odp. ✓
- 9 Can a knotted sphere isometrically embed into $\mathbb R^3$? MO 2020, 1 odp.
- 9 Generators and relations for the 2-dimensional unoriented cobordism category MO 2020, 1 odp. ✓
- 9 Connections between spectral geometry and critical point/Morse theory MO 2020, bez odp.
- 9 Center of $\pi_{1}(\mathbb{R}^{3} \backslash \text{trefoil knot})$ and $\mathrm{PSL}_{2}(\mathbb{Z})$ MSE 2019, 1 odp. ✓
- 9 Seifert matrix from a Seifert surface MSE 2019, 1 odp. ✓
- 9 Given a knot, what's the minimal genus of a torus the knot is embeddable on? MSE 2019, 2 odp. ✓
- 9 About the commutativity of the $1^\text{st}$ homotopy group of the space of knots MO 2019, 2 odp. ✓
- 9 Does the union of all finite groups yield a complete knot invariant for prime knots? MO 2018, 1 odp.
- 9 Are there knots that can be distinguished by the Alexander-Conway polynomial, but not the Alexander polynomial? MO 2018, 1 odp. ✓
- 9 What is the "classical limit" of Khovanov homology? MO 2018, bez odp.
- 9 Knots of fixed genus with arbitrarily large volume MO 2018, 3 odp. ✓
- 9 Interactions between pseudoline arrangements and braid groups? MO 2018, bez odp.
- 9 Is there a zero knowledge protocol for knottedness, similar to the GMW protocol for graph non-isomorphism? MO 2017, 1 odp. ✓
- 9 Can the Borromean rings be unlinked if we allow each component to pass through itself? MSE 2017, 1 odp. ✓
- 9 Learning roadmap for Knot theory MSE 2016, 2 odp.
- 9 What's wrong with my calculation of the knot group of trefoil? MSE 2016, 1 odp. ✓
- 9 How many knots are there with hyperbolic volume less than a given constant MO 2015, 2 odp. ✓
- 9 Unknotting number of knot diagrams MO 2014, 3 odp. ✓
- 9 Is more alternating always better? MO 2014, 2 odp.
- 9 Proving that the Jones polynomial is q-holonomic MO 2014, 1 odp.
- 9 Why is a braided left autonomous category also right autonomous? MO 2014, 2 odp. ✓
- 9 Do we get a instanton $S^{3}$ if we do $1/n$ surgery on a knot in $S^{3}$? MO 2014, 3 odp. ✓
- 9 What constant ensures hyperbolicity of Dehn surgery? MO 2013, 3 odp. ✓
- 9 Total mean curvature of an immersed torus. MSE 2013, 2 odp. ✓
- 9 Complement of figure-8 knot MSE 2013, 2 odp. ✓
- 9 Piecewise Smooth Knot Theory MO 2013, 1 odp. ✓
- 9 What are the homotopy classes of two-component links in $\mathbb{RP}^3$? MO 2013, 1 odp.
- 9 Is the connected sum of knots an isometry? MO 2013, bez odp.
- 9 Khovanov-Rozansky homology and spectral sequences MO 2013, 2 odp. ✓
- 9 Seifert matrices – Figure 8 knot MSE 2012, 2 odp. ✓
- 9 Complexity of surfaces bounding knots in 4-ball and 3-sphere respectively MO 2012, 1 odp.
- 9 How to find Colin Day's PhD Thesis MO 2012, 2 odp. ✓
- 9 Understanding Penrose diagrammatical notation MO 2011, 1 odp.
- 9 What are the statistics of prime knots in 3d Random walk? MO 2011, 1 odp. ✓
- 9 Torus knots in Euclidean space – a symmetry argument MO 2011, 2 odp. ✓
- 9 What is the complex structure on the boundary torus of a hyperbolic knot complement? MO 2011, 1 odp. ✓
- 9 Does every knot contain all four vertices of an isosceles trapezoid? MO 2011, 2 odp.
- 9 Smooth proof of Reidemeister theorem MO 2011, 2 odp. ✓
- 9 Whitehead doubles of any knots MO 2011, 3 odp. ✓
- 9 Ramified cover of 3-ball MO 2011, 1 odp. ✓
- 9 Polygons arising from knot diagrams MO 2010, 3 odp. ✓
- 9 Casson's invariant and the trivial connection contribution to witten's 3-manifold invariant MO 2009, 1 odp. ✓
- 9 Is this a sleight of hand or a video edit? MO 2009, 1 odp. ✓
- 9 Seifert surfaces of torus knots MO 2009, 3 odp. ✓
- 9 What is Floer homology of a knot? MO 2009, 1 odp. ✓
- 8 Divergence of knot energy integral MSE 2026, 2 odp.
- 8 Is the map from the $(3,4)$ torus knot group to the braid group $B_4$ injective? MSE 2026, 3 odp. ✓
- 8 Are string figures knots or braids? MSE 2026, 1 odp. ✓
- 8 Separating trefoil knot on torus MO 2025, 2 odp. ✓
- 8 Finite two-relator groups and quotients of knot groups MO 2024, 1 odp.
- 8 Covering of a knot complement MO 2023, 2 odp.
- 8 Is the Lawrence–Krammer representation faithful, reduced modulo p? MO 2022, bez odp.
- 8 The figure eight knot complement in $S^3$ MO 2022, bez odp.
- 8 Surgery along knots and connected sum MO 2022, 1 odp.
- 8 Seeking the longer paper for which John Conway's "An enumeration of knots and links" is "an abbreviated form" MSE 2022, 2 odp. ✓
- 8 Presentations of exotic 4-manifolds MO 2021, 2 odp.
- 8 Distinct knots with same $A$-polynomial MO 2021, 2 odp. ✓
- 8 Is the number of prime factors of 3-manifolds obtained by Dehn surgery along a link with $N$ components in $S^3$ bounded from above? MO 2021, bez odp.
- 8 Inverse Kirby knot MO 2021, 1 odp.
- 8 Which knot is this? MSE 2021, 2 odp.
- 8 Trefoil knot cannot be injectively projected to a plane? MSE 2021, 2 odp. ✓
- 8 Wrapping a Rubber Band around a Cube MSE 2021, 2 odp.
- 8 Knot theory and creative writing MO 2021, 3 odp.
- 8 references on categorification of knot invariants MO 2020, bez odp.
- 8 Integer surgeries along links yielding lens spaces MO 2020, 1 odp.
- 8 Understanding fundamental group of Poincare homology sphere MO 2020, 1 odp. ✓
- 8 Borromean Weaving MSE 2019, 1 odp.
- 8 Chromatic polynomial and the circle MO 2019, bez odp.
- 8 $\mathbb{C}^2 \otimes \mathbb{C}^2 \otimes \mathbb{C}^2$ representation of $B_3$ braid group MSE 2019, 4 odp. ✓
- 8 Set of Jones polynomials as the knot varies MO 2019, 1 odp. ✓
- 8 Modules over Hopf Algebras and $E_2$-algebras MO 2018, 1 odp. ✓
- 8 Can two different prime knots have a Dowker-Thistlethwaite code in common? MSE 2018, 1 odp.
- 8 Slicing satellite knots MO 2018, bez odp.
- 8 Factor traces of the Temperley-Lieb algebra MO 2018, 1 odp.
- 8 Equivalence polygonal knots with smooth knots MSE 2018, bez odp.
- 8 When are Alexander ideals products of cyclic modules? MSE 2017, bez odp.
- 8 Extensions of Fried's Theorem: Surface bundles over Circles and Flows on 3 Manifolds MO 2017, 1 odp.
- 8 Efficient algorithm for determining if a knot is trivial by querying its crossings MO 2017, bez odp.
- 8 Khovanov homology and Crane-Yetter TQFT MO 2017, bez odp.
- 8 1-Bridge Braids in Solid Tori (Berge-Gabai knots), dual knots, & knot exteriors MO 2017, 1 odp.
- 8 The Mathematics of Symbol Recognition. MSE 2017, 2 odp. ✓
- 8 How does the topology of the graphs' Riemann surface relate to its knot representation? MSE 2017, bez odp.
- 8 Hemi-semi direct product of racks or quandles MO 2016, bez odp.
- 8 Are knots determined by their complements within a homotopy class? MO 2016, 1 odp.
- 8 Brauer-Picard for a fusion category coming from a quantum group MO 2015, 1 odp. ✓
- 8 What does the representation category of the knot group know? MO 2015, 1 odp. ✓
- 8 Questions on poincare homology spheres and branched covers MO 2015, 1 odp. ✓
- 8 Union of knots and its Alexander polynomial MO 2015, bez odp.
- 8 Definition by degree and intersection number are equivalent (linking number). [repost] MSE 2015, 1 odp. ✓
- 8 Does the limit in the Volume conjecture converge? MO 2014, 1 odp. ✓
- 8 Has knot theory led to the development of better knots? MSE 2014, bez odp.
- 8 Homology of knot complement MSE 2014, 2 odp.
- 8 Is this knot invariant already treated somewhere in the literature? MO 2014, 1 odp. ✓
- 8 Framing Integer associated with a Framed Knot/Link MSE 2014, 3 odp. ✓
- 8 Relation between the braid group and the mapping class group of the plane MSE 2013, 1 odp. ✓
- 8 Is there a combinatorial version of PL ambient isotopy in dimension $>3$? MO 2013, 1 odp. ✓
- 8 Knots and Dynamics. Recent breakthroughs? MO 2013, 3 odp. ✓
- 8 How does Thurston's Orbifold Geometrization imply that knots with meridional rank 2 are 2-bridge? MO 2013, 2 odp.
- 8 Measures of entangledness of an open curve MO 2013, 3 odp.
- 8 Annulus Theorem MSE 2013, 2 odp. ✓
- 8 Existence of different knots in $RP^3$ having the equivalent liftings in $S^3$ MO 2013, 1 odp.
- 8 Differences between various categories of surface embeddings in 4-space MO 2013, 1 odp. ✓
- 8 Original proof of the existence of Seifert surfaces MO 2013, 2 odp.
- 8 Hyperbolic Brunnian links and rectangular cusp shapes MO 2013, 2 odp. ✓
- 8 Seifert surfaces via Alexander duality MO 2013, 1 odp. ✓
- 8 The equality problem between conjugate group elements MO 2012, 1 odp. ✓
- 8 Reference request: the "Kauffman bracket skein category"? MO 2012, 1 odp. ✓
- 8 What is knot contact homology? MO 2012, 1 odp. ✓
- 8 Knot theory without planar diagrams? MO 2012, 7 odp. ✓
- 8 High-dimensional ribbon knots MO 2012, 2 odp.
- 8 AJ conjecture for links MO 2012, 2 odp.
- 8 Rational homology spheres and knots MO 2012, 1 odp. ✓
- 8 Efficient topological triangulations of non-convex polyhedra MO 2012, 3 odp. ✓
- 8 What knot groups are Abelian? MSE 2012, 2 odp.
- 8 Closed formula for colored Jones polynomial of the trefoil? (reference request) MO 2012, 1 odp. ✓
- 8 Does anyone know this sequence of polynomials? MO 2011, bez odp.
- 8 Examples of Non-algebraic Fibered Knots? MO 2011, 2 odp. ✓
- 8 Are there any very hard unlinks? MO 2011, 2 odp. ✓
- 8 The construction of knotted surfaces in $\mathbb{R}^4$ MSE 2010, 2 odp. ✓
- 8 Is there a (hope for) formula for a colored HOMFLYPT invariant in terms of HOMFLYPT invariants colored by the fundamental represenations? MO 2010, 2 odp.
- 8 $\omega$-triviality of knots? MO 2010, 1 odp.
- 8 Intutive interpretation about Linking forms MO 2010, 2 odp. ✓
- 8 Which presentations of (non)planar algebras give rise to knots? MO 2010, bez odp.
- 8 Lattice Stick Number vs. Stick Number of Knot MO 2010, 2 odp. ✓
- 8 Is there any analogs of Vassiliev invariants in higher dimensions? MO 2010, 6 odp.
- 8 What is the Alexander polynomial of a point? MO 2010, 2 odp. ✓
- 8 Constructing the Hecke-Algebra from the Burau representation MO 2010, 2 odp.
- 8 Difference between Alexander polynomial and Blanchfield pairing MO 2009, 2 odp.
- 8 Is Murasugi's conjecture still open? MO 2009, 3 odp. ✓
- 8 Braided Monoidal 2-categories with duals MO 2009, 5 odp.
- 8 Is there a version of Temperley-Lieb using sl(3) rather than sl(2)? MO 2009, 5 odp. ✓
- 8 A $k$-component link defines a map $T^k\rightarrow \operatorname{Conf}_k S^3$. Does the homotopy type capture Milnor's invariants? MO 2009, 1 odp. ✓
- 7 Boundary-incompressibility issue in Scharlemann–Thompson’s “Unknotting number, genus, and companion tori” MO 2026, 1 odp.
- 7 Why does my Seifert–van Kampen computation of the figure-eight knot group give $\mathbb{Z}$? MSE 2026, bez odp.
- 7 Knot Complement Universal Cover Homeomorphic to $R^3$? MSE 2026, 2 odp. ✓
- 7 Slice vs ribbon genus for $g>0$ MO 2025, bez odp.
- 7 How to compute the canonical genus of a knot? MO 2025, 1 odp. ✓
- 7 Reidemeister moves for concordant knots MO 2025, 1 odp.
- 7 Struggling to Show Alexander Polynomial is a Knot Invariant Using Skein Relations MSE 2023, 1 odp. ✓
- 7 Knotted Traveling Salesperson route MO 2023, bez odp.
- 7 Powers of meridians in knot groups MO 2023, 2 odp. ✓
- 7 Combinatorial structure of the tesseract MSE 2022, bez odp.
- 7 Small knots becoming isotopic after connect sum MO 2022, 1 odp. ✓
- 7 Generating cycles inside Tits' graph of words for a positive braid MO 2022, bez odp.
- 7 Isotopy classes of $CP^1$ in 4-manifolds MO 2022, bez odp.
- 7 Is it possible to separate two linked (geometric) circles in $\Bbb R^3$ by a set homeomorphic to the 2-sphere (with arbitrarily “bad” homeomorphism)? MO 2022, 1 odp. ✓
- 7 Classification of knots in solid torus MO 2022, 1 odp. ✓
- 7 A ribbon presentation for a torus knot MO 2022, 2 odp. ✓
- 7 Heegaard Floer homology of a genus two Heegaard splitting of $S^3$ MO 2022, 1 odp. ✓
- 7 What is known about exceptional slopes of hyperbolic knots? MO 2022, 2 odp. ✓
- 7 Double ($p$-fold) coverings of $B^4$ along ribbon/slice disks MO 2022, 2 odp. ✓
- 7 Knots: locally flat, PL and smooth MO 2021, 1 odp.
- 7 Does the non-cancelation theorem hold for 2-knots? MO 2021, bez odp.
- 7 Fundamental group of the space of smooth embeddings of $S^1$ into $\mathbb R^3$ MO 2021, 2 odp.
- 7 A categorical approach to knot theory? MSE 2021, 2 odp.
- 7 Is the unit-stick number of a knot equal to its stick number? MO 2021, bez odp.
- 7 Decidability of knot equivalence in general 3-manifolds? Surface equivalence? MO 2021, 1 odp.
- 7 Can the Chern-Simons invariant of a cusped hyperbolic $3$-manfiold be defined mod $\mathbb Z$? MO 2021, 1 odp. ✓
- 7 Singularities of PL embedding of surface in a contractible 4-manifold MO 2020, 1 odp. ✓
- 7 Assigning a "canonical geometry" to a Seifert surface MO 2020, 1 odp. ✓
- 7 What are the "correct" references for the Vassiliev invariant? MO 2020, 2 odp.
- 7 Is this knotted graph knotted? MSE 2020, bez odp.
- 7 Harmonic functions on knot complements MO 2020, 1 odp.
- 7 Akbulut's cork involution MO 2020, 1 odp. ✓
- 7 What are applications of Jones polynomial on von Neumann algebras? MO 2020, 2 odp. ✓
- 7 Generalized Brunnian links MO 2020, bez odp.
- 7 Computing $\pi_2$ of the complement of a 2-knot or spaces with aspherical splittings? MO 2020, 1 odp.
- 7 When do two knots have isomorphic fundamental bikeis? MO 2019, bez odp.
- 7 A "double" Möbius Strip MSE 2019, 3 odp. ✓
- 7 Is the category of racks semi-abelian? MO 2019, 1 odp.
- 7 TDA and knot theory MSE 2019, bez odp.
- 7 What are these 3-manifolds from surgery? MO 2019, 1 odp.
- 7 Is every element of $Mod(S_{g,1})$ a composition of right handed Dehn twists? MO 2018, 2 odp. ✓
- 7 Quantum homology of $(S^2 \times S^2,\omega_{FS}\oplus \omega_{FS})$ and Poincare duality MO 2018, 1 odp. ✓
- 7 IH-moves on trivalent graphs, and a complex that might be known to low-dimensional topologists MO 2018, bez odp.
- 7 HOMFLYPT vs. Jones vs. Alexander polynomial? MO 2018, 1 odp.
- 7 Relation between different versions of Bar-Natan homology MO 2018, bez odp.
- 7 What knots tend to form? MSE 2018, 1 odp.
- 7 What is the complexity of determining if a knot group is $\mathbb{Z}$? MO 2018, 1 odp.
- 7 Theory of Irrational Tangles? MO 2018, bez odp.
- 7 Does annular Khovanov homology detect the unknot (in annulus)? MO 2018, 2 odp. ✓
- 7 Is a knot in $\mathbb{R}^3$ that can be untied necessarily trivial? MSE 2018, 1 odp.
- 7 Unknot is the only knot that bounds a disk MSE 2018, bez odp.
- 7 Can we cut and rotate a particular region of a hyperbolic 3-manifold to get another (non-homeomorphic) hyperbolic 3-manifold? MO 2018, 1 odp.
- 7 Fundamental group of 3-manifold obtained by surgery description MSE 2017, 1 odp. ✓
- 7 Simple question on Kirby move MO 2017, 1 odp. ✓
- 7 Are the borromean rings a torus link? MSE 2017, 1 odp. ✓
- 7 Knots from the boundary of Möbius strips MSE 2016, 2 odp.
- 7 Understanding "Decategorified" symplectic Khovanov homology MO 2016, 1 odp. ✓
- 7 Admissibility in Heegaard Floer, especially with torsion Spin^c structures MO 2016, 1 odp. ✓
- 7 Fibered example of topologically slice knots MO 2015, 2 odp. ✓
- 7 Surgery along an arc connecting the components of a $2$-component link gives the unknot MO 2015, 3 odp. ✓
- 7 What is the easiest way to compute Ozsváth-Szabó tau invariant of a knot? MO 2015, 2 odp. ✓
- 7 How to show whether a given knot and its mirror image are the same or not? MO 2015, 3 odp.
- 7 Kinematics of rolling knots MO 2015, bez odp.
- 7 Can every large point set be connected to a given knot? MO 2015, 2 odp. ✓
- 7 Algorithm for computing the Arf invariant of a knot MO 2015, 3 odp.
- 7 What are known examples of a 3-manifold $Y$ embedded into $Y'\times I$ where $Y'$ is another 3-manifold? MO 2015, 2 odp. ✓
- 7 Can two fibered knots have the same exterior? MO 2015, 1 odp. ✓
- 7 Is "slightly deform" a well defined concept in mathematical proof? MSE 2014, bez odp.
- 7 Stable, tame A-infinity isomorphism? MO 2014, bez odp.
- 7 Can information about a knot be recovered from the Jones Polynomial? MSE 2014, 1 odp.
- 7 William Thurston's 'Knots to Narnia' MSE 2014, 1 odp.
- 7 Obtaining Wirtinger presentation using van Kampen theorem MSE 2014, 2 odp. ✓
- 7 Category theory for knot theory MSE 2014, 1 odp.
- 7 In the definition of the Heegard Floer surgery exact triangle, what exactly is the correspondence between Whitney triangles and periodic domains? MO 2014, 1 odp. ✓
- 7 Why a torus knot is a prime knot? MSE 2014, 1 odp. ✓
- 7 Conjugation Quandles and... "Quandle-Groups"? From quandles to Groups. MSE 2014, bez odp.
- 7 homeomorphism of cantor set extends to the plane? MSE 2014, 2 odp.
- 7 Are Fourier series of length 2 'asymmetric enough' to generate all crossing patterns? - A reformulation of the Fourier-(1,1,2) knot question MO 2014, 2 odp. ✓
- 7 Quantization of symplectic vector space and choice of lagrangian subspaces MO 2013, 1 odp. ✓
- 7 How do I efficiently find a sequence of Reidemeister moves between equivalent link diagrams? MO 2013, 2 odp. ✓
- 7 What is a 2-surgery on a disk? MSE 2013, 1 odp.
- 7 Uniqueness of Preferred Framing of a Solid Torus in $S^3$ MSE 2013, 2 odp. ✓
- 7 Vassilliev invariants of knots and their cables MO 2013, 2 odp. ✓
- 7 integer surgeries on knots MO 2013, 1 odp.
- 7 Heegaard diagram MO 2012, 2 odp. ✓
- 7 What is the historical connection between Zeeman's twist spinning and Fox's Examples? MO 2012, bez odp.
- 7 Seifert matrices and Arf invariant – Cinquefoil knot MSE 2012, 2 odp. ✓
- 7 Resemblance between Birman-Murakami-Wenzl algebra representations and the Lawrence-Krammer representations MO 2012, 1 odp. ✓
- 7 Is there a notion of "ribbon 2-category"? MO 2012, 3 odp. ✓
- 7 Tangled Knot Function MO 2012, 2 odp. ✓
- 7 Reference for an unknotting move MSE 2012, 4 odp. ✓
- 7 Wanted: differential coming from higher genus surface in Heegaard Floer homology MO 2012, 1 odp. ✓
- 7 Quantum coordinate ring at root of unity MO 2012, 1 odp. ✓
- 7 Quantum E6/E7 knot polynomials MO 2012, 2 odp.
- 7 Does there exist infinitely many prime knots? MO 2011, 2 odp.
- 7 Ambient Isotopy MSE 2011, bez odp.
- 7 Is the category of tangles that includes, X, Y, and Lambda a free Frobenius braided category? MO 2011, bez odp.
- 7 Trace identities and the Kauffman Bracket skein module MO 2011, 1 odp. ✓
- 7 What is known about links with a countably-infinite number of tame components? MO 2011, 2 odp. ✓
- 7 Length of shortest possible knot MO 2011, 1 odp. ✓
- 7 Boundary links and ribbon links. MO 2010, 1 odp. ✓
- 7 When is a connected sum of torus knots a slice knot? MO 2010, 1 odp. ✓
- 7 Milnor's isotopy invariant using spectral sequence? MO 2010, 1 odp. ✓
- 7 Which knots' stick numbers are twice their crossing numbers? MO 2010, 1 odp. ✓
- 7 Higher-dimensional braid group? MO 2010, 4 odp. ✓
- 7 Ideals in the ring of single-variable Laurent polynomials with integer coefficients MO 2010, 2 odp. ✓
- 7 3-manifold with torus boundary with trivial "peripheral ideal"? MO 2010, 3 odp.
- 7 Computations of the Link homology categorifying the second colored Jones polynomial MO 2010, 2 odp. ✓
- 7 Can you do surgery on framed tangles? MO 2009, 2 odp.
- 6 If two Tame Embeddings $f, g: N \hookrightarrow \mathbb{R}^{n+1}$ of a Compact Hypersurface are near, are the Embeddings Topologically Equivalent? MSE 2025, bez odp.
- 6 Does Chekanov–Eliashberg DGA have Functoriality? MO 2025, 1 odp.
- 6 Examples of knots with a high-dimensional component of the character variety MO 2024, 3 odp. ✓
- 6 Sufficient conditions on immersion $S^1\sqcup\ldots \sqcup S^1\to \mathbb{R}^2$ to guarantee a finite number of multiple points. MSE 2024, bez odp.
- 6 Are isomorphisms of fundamental quandles canonical? MO 2024, 1 odp. ✓
- 6 Loop manipulation subgroup of the braid group MO 2024, 1 odp. ✓
- 6 Heegaard splitting of figure-8 knot complement MO 2024, 1 odp. ✓
- 6 Knotted concordances of slice links MO 2024, 1 odp. ✓
- 6 Slice knots in 3-manifolds MO 2024, 2 odp. ✓
- 6 Relations between relations in the positive braid monoid MO 2024, 1 odp.
- 6 Are there examples of different knots with identical Jones polynomials and different Seifert Genus? MSE 2023, 1 odp. ✓
- 6 Kirby diagram of Enriques surface (as the "(1/2) K3 surface") MO 2023, bez odp.
- 6 Different flavours of Vassiliev Conjecture MO 2023, 1 odp. ✓
- 6 How to use a Heegaard diagram to retrieve the original 3-manifold that it represents? MO 2023, 1 odp. ✓
- 6 Is Heegaard-Floer homology the Lagrangian Floer homology of $M=\text{Sym}^g(\Sigma), L_0=\mathbb{T}_{\alpha},L_1=\mathbb{T}_{\beta}$? MO 2023, bez odp.
- 6 Proving that the cone over a knot is not locally flat MSE 2023, 1 odp. ✓
- 6 In knot theory, what is this link property and how to detect it: "linkings between components separate nicely" MO 2023, 1 odp.
- 6 4-manifold obtained from a ribbon disk exterior by attaching a 2-handle is simply-connected if its boundary is a homology sphere MO 2022, 1 odp. ✓
- 6 Is a monoid structure on the set of knots useful? MSE 2022, 1 odp. ✓
- 6 Way to determine the type of a knot given by a diagram MSE 2022, 3 odp. ✓
- 6 Regular pentagon folding a strip MSE 2022, 1 odp. ✓
- 6 A (possible) generalization of the unknot, inverses and the knot concordance MO 2022, 1 odp. ✓
- 6 Motivating quantum groups from knot invariants MO 2022, 1 odp. ✓
- 6 Non-commutative knot invariants MO 2022, 1 odp.
- 6 Computation of $\pi_1$ for a Mazur manifold and its boundary MO 2022, 1 odp. ✓
- 6 Infinite family of different prime knots with trivial Alexander polynomial MO 2021, 3 odp.
- 6 Signature and cusp geometry of hyperbolic knots MO 2021, bez odp.
- 6 Is a spin structure on a knot complement the same thing as an orientation of the knot? MO 2021, 3 odp. ✓
- 6 Embedding linklessly embeddable graphs without Borromean rings MO 2021, 1 odp. ✓
- 6 Fáry-Milnor theorem for positively curved metrics on $S^3$? MO 2021, 2 odp.
- 6 Homology of a submanifold complement MSE 2020, bez odp.
- 6 Seifert matrices of cable knots MO 2020, 2 odp. ✓
- 6 Why does the inverse Alexander polynomial appear in the MMR conjecture? MO 2020, bez odp.
- 6 Mayer-Vietoris sequence to find first homology for the double cover of complement of trefoil knot MSE 2020, bez odp.
- 6 $\mathbb{Z}/2\mathbb{Z}$ coefficients in gysin sequence MO 2020, bez odp.
- 6 Applications of quantum representations of the mapping class group to quantum computers MO 2020, 1 odp. ✓
- 6 Tubular Neighborhoods vs. Regular Neighborhoods MSE 2019, 1 odp.
- 6 Is there a natural, purely group-theoretic definition of the virtual braid group? MO 2019, bez odp.
- 6 Algorithms for untying knots? MSE 2019, 1 odp.
- 6 Why does the longitude correspond to Frobenius in Arithmetic Topology, and other strange phenomena MO 2019, bez odp.
- 6 Knots on $\mathbb{R}P^2$ and on n-half-twist Möbius strips MSE 2019, 1 odp. ✓
- 6 Background needed to understand modern research on knot homology theories MO 2019, 2 odp.
- 6 The bridge index and crookedness of a knot MO 2019, 1 odp.
- 6 Connection Between Knot Theory and Number Theory MO 2019, 5 odp. ✓
- 6 Is there a notion of tunnel number for 2-knots? MO 2019, bez odp.
- 6 Kirby calculus on E8 plumbing MSE 2019, 2 odp.
- 6 Perko pair - What's the handedness of these pictures? MSE 2018, 3 odp. ✓
- 6 Framings for 2-surgeries on 4-manifolds MO 2018, 1 odp. ✓
- 6 Do an unlinked trefoil and figure-eight cobound an annulus in $B^4$? MO 2018, 1 odp. ✓
- 6 Reference request: Can iterated torus links be mutated? MO 2018, 1 odp. ✓
- 6 Prime number theorem for knots? MSE 2018, bez odp.
- 6 How many different 'knot shadows' can a circle embedded in high dimension have? MSE 2018, 1 odp. ✓
- 6 Knot Factorization Homology inputs MO 2018, 1 odp. ✓
- 6 Generating prime knots (in order) MO 2018, 1 odp.
- 6 Can a knot be cables of two different knots? MO 2018, 1 odp. ✓
- 6 Given a link $L\subset S^3$ how to construct a link $L'$ whose complement have hyperbolic structure? MO 2017, 3 odp.
- 6 Can we "Curve" a manifold, as much as possible? MO 2017, bez odp.
- 6 What is the relationship between the Khovanov-Rozansky homology of a digraph and that of a link? MO 2017, bez odp.
- 6 Relatively hyperbolic knot groups MO 2017, 2 odp. ✓
- 6 How to braid a ribbon knot MO 2017, 1 odp.
- 6 Double branched covers of $S^3$ branched along prime knots MSE 2016, 1 odp. ✓
- 6 Structure of foliations of codimension 2 on three dimensional torus MO 2016, 4 odp.
- 6 Essential surfaces in knot complements MO 2016, 1 odp.
- 6 Fibered knots vs Heegaard genus MO 2016, 1 odp.
- 6 What is the mathematical significance of the IHES logo? MO 2016, 2 odp.
- 6 Is a "knot knot" or "double knot" a thing in knot theory? MO 2016, 1 odp. ✓
- 6 Parameterization of a knotted surface? MO 2015, 1 odp. ✓
- 6 Tight approximation of a Torus Knot length MSE 2015, 1 odp. ✓
- 6 How to classify this surface MSE 2015, 2 odp.
- 6 Can one twist fibred knots and still get fibred knots? MO 2015, 1 odp. ✓
- 6 Is there a one to one correspondence between Jones' polynomials and knots? MSE 2015, 1 odp. ✓
- 6 Can a trefoil knot be stretched to look like a triangle with three knots at the vertices? MSE 2015, 1 odp. ✓
- 6 Tunnel number of Pretzel knots MO 2015, 1 odp. ✓
- 6 Polynomial invariants for unoriented links MO 2015, 3 odp. ✓
- 6 What is the original reference for disorientations on tangle diagrams? MO 2015, 1 odp. ✓
- 6 Reference for a fact (?) on homeomorphic knot complements MO 2014, 2 odp. ✓
- 6 Probability that two circles in space are linked MSE 2014, 1 odp.
- 6 Software for BMW algebra calculations? MO 2014, bez odp.
- 6 Crossing bound implies Reidemeister move bound? MO 2014, bez odp.
- 6 Closed formula or program for computing Tristram-Levine signatures of torus knots? MO 2014, 1 odp. ✓
- 6 On trivalent spines of surfaces MO 2014, 2 odp.
- 6 How to ensure Topological Correctness MSE 2014, 1 odp. ✓
- 6 Piecewise linear knots and smooth knots MSE 2013, bez odp.
- 6 Construction of 3D Topological Quantum Field Theory from a 2D Modular Functor MO 2013, bez odp.
- 6 Knots indistinguishable by HOMFLY MO 2013, 1 odp. ✓
- 6 Getting surgery link from Heegaard splitting MO 2013, 2 odp. ✓
- 6 Kauffman's state model for the Alexander polynomial, via representation theory MO 2013, 1 odp.
- 6 Untwisting Heegaard diagrams MO 2013, 1 odp. ✓
- 6 Locally flat non-smooth discs MO 2013, 1 odp.
- 6 Seifert genus of the lift of a knot in its cyclic branched covers MO 2013, 1 odp. ✓
- 6 Equivalent to Oriented knot complement conjecture MO 2012, 1 odp.
- 6 How does smoothness prevent "singularities"? MSE 2012, 2 odp.
- 6 Framed manifolds and framed knots MSE 2012, 1 odp. ✓
- 6 Computations and applications of Khovanov's functor valued invariant of tangles MO 2012, 1 odp. ✓
- 6 S-matrix for the BMW category MO 2012, bez odp.
- 6 Examples of calculations of Turaev-Reshetikhin TQFT of cobordisms with boundaries have genera greater than 1 MO 2012, 1 odp. ✓
- 6 Computational complexity of Knot polynomials MO 2012, 2 odp. ✓
- 6 Definition of Reshetikhin-Turaev TQFT MSE 2012, bez odp.
- 6 Computing knot/link groups MSE 2012, 2 odp. ✓
- 6 Path of almost complex structure in the definition of Heegaard Floer homology MO 2012, 1 odp. ✓
- 6 What vector space does the Kauffman bracket skein algebra of FxI act on? MO 2012, 1 odp. ✓
- 6 Knot with genus $1$ and trivial Alexander polynomial? MSE 2011, 1 odp. ✓
- 6 Is there a known method for finding the minimum bridge index of a knot? MO 2011, 2 odp. ✓
- 6 Kontsevich Integral without associators? MO 2011, 1 odp. ✓
- 6 Is the complete functorial structure for Khovanov–Lee homology known? MO 2011, 1 odp. ✓
- 6 Link of singularities MO 2011, 1 odp.
- 6 School project in knot theory MSE 2010, 3 odp. ✓
- 6 How to distinguish Pretzel links with the same coefficients? MO 2010, 1 odp. ✓
- 6 Torsion in chord diagrams for 2-string links? MO 2010, bez odp.
- 6 What is the image of the half/full twist in the Hecke algebra, in the Kazhdan-Lusztig basis? What is the corresponding complex of Soergel bimodules? MO 2010, 1 odp.
- 6 Prime decomposition for knots in manifolds MO 2010, 1 odp.
- 6 Generating ribbon diagrams for knots known to be ribbon knots MO 2009, 4 odp. ✓
- 6 Computations in Knot Homology Theories MO 2009, 2 odp.
- 6 How do quantum knot invariants change when I pick a funny ribbon element? MO 2009, 2 odp. ✓
- 5 Does Khovanov homology on cabling exhibit representation stability? MO 2026, 1 odp. ✓
- 5 Is there a formula to compute the correction terms to Heegaard Floer homology for plumbed $3$-manifolds? MO 2026, 1 odp. ✓
- 5 How do I find the homeomorphism that flattens this knot? MSE 2026, 1 odp. ✓
- 5 Satellites and ribbon concordances MO 2026, bez odp.
- 5 Going from Heegaard Splitting to Link Surgery Description MO 2026, 1 odp.
- 5 Reference request: Formula of Seifert invariant of Dehn surgery along torus knots MO 2025, 1 odp. ✓
- 5 Homological blocks as mathematical objects MO 2025, bez odp.
- 5 Computing attaching maps in triangulation with SnapPy MO 2025, 2 odp. ✓
- 5 "Maximum cuppability" of uncappable element of Temperley-Lieb algebra? MSE 2025, bez odp.
- 5 Difference between Milnor $\mu$ and Milnor $\bar{\mu}$ invariants MSE 2025, bez odp.
- 5 Fundamental group of a complement of a certain graph (attempt 2) MSE 2025, bez odp.
- 5 Extension of map from $S^3\times S^1$ to $D^4\times S^1$ to an homotopy MSE 2025, 1 odp. ✓
- 5 $\pi_2(x,y)$ in the case of genus 1 in Heegaard Floer homology MO 2025, 1 odp. ✓
- 5 Every closed oriented 3-manifold admits an open book decomposition? MO 2025, 1 odp.
- 5 Kirby diagram of the complement of a subhandlebody of a smooth closed 4-manifold MO 2024, 1 odp. ✓
- 5 Why is this Brieskorn manifold a rational homology sphere? MO 2024, 1 odp. ✓
- 5 Torus knot of type (1,p) is trivial? MSE 2024, 1 odp. ✓
- 5 Equivalence of knotted spheres in $S^4$ MO 2024, 1 odp.
- 5 link cobordism classes MO 2024, 1 odp.
- 5 existence of triangulations of manifolds MO 2024, 1 odp. ✓
- 5 Is there a nontrivial ribbon knot concordance from a knot to itself? MO 2024, 1 odp.
- 5 Kirby diagrams of Mazur manifolds MO 2023, 1 odp.
- 5 Are there examples of different knots with identical Jones polynomials and different Seifert Genus? MO 2023, bez odp.
- 5 Proof of the Wirtinger Presentation using Van Kampen Theorem MSE 2023, 1 odp. ✓
- 5 Complement of plane curve and knot MO 2023, 1 odp. ✓
- 5 0-surgery on a fibered hyperbolic ribbon knot MO 2023, 1 odp.
- 5 Skein tree depth on a minimal knot or link diagram MO 2023, bez odp.
- 5 Why in $p$-colorability , $p$ must be a prime ? (knot theory) MSE 2023, 2 odp.
- 5 Canonically representing the monodromy of a hyperbolic manifold fibered over $S^1$ MO 2023, 2 odp.
- 5 Amenable link groups MO 2023, 1 odp. ✓
- 5 Bounds for the crossing number in terms of the braid index? MO 2023, 1 odp. ✓
- 5 Knot Traces and Trace Lemma MSE 2023, 1 odp. ✓
- 5 Irreducible factors of the A-polynomial MO 2023, bez odp.
- 5 Every knot is slice, find the error in the following argument MSE 2023, 1 odp.
- 5 Are two slice surfaces with minimal genus isotopic? MO 2023, 1 odp. ✓
- 5 Kauffman bracket for Abelian anyons MO 2022, 1 odp.
- 5 References for completions of finite group tensor categories MO 2022, bez odp.
- 5 General formula for a topologically slice odd pretzel knot MO 2022, 1 odp.
- 5 What type of Mathematics, if any, is this? (On curiosities associated with a logo.) MSE 2022, bez odp.
- 5 Fundamental group of the boundary of a torus with a point removed MSE 2022, bez odp.
- 5 Lens space to lens space surgeries MO 2022, bez odp.
- 5 Smoothing tame topological knots, from an analytic perspective MO 2022, bez odp.
- 5 Do knot/link Floer homology detect variations of link genus? MO 2022, bez odp.
- 5 What is the group presentation for the two-twist spun trefoil? MSE 2022, 1 odp.
- 5 Kirby diagrams: sliding 1-handles over 1-handles and ribbon disks MO 2022, 1 odp. ✓
- 5 Integral surgeries on $3$-manifolds MO 2022, 1 odp. ✓
- 5 Coxeter's braid group quotients MO 2022, bez odp.
- 5 Does homotopy equivalence of pairs distinguish knots? MSE 2021, 1 odp.
- 5 $\operatorname{Lk}(C_1,C_2)= \operatorname{Lk}(C_2,C_1)$ MSE 2021, 2 odp.
- 5 Thurston universe gates in knots: which invariant is it? MO 2021, 1 odp. ✓
- 5 Does a periodic and strongly invertible knot have a specific type of diagram? MO 2021, 1 odp. ✓
- 5 Finding my mistake in a "proof" that there is no non-trivial knot MSE 2021, 1 odp. ✓
- 5 Two knots with same Dowker-Thistlethwaite code have isomorphic knot groups? MO 2020, 1 odp.
- 5 Actions of two types of Kauffman skein categories MO 2020, 1 odp.
- 5 Exchanging the components of a two-component link MO 2020, 1 odp. ✓
- 5 What mathematics is behind those metal knot puzzles/brainteasers? MSE 2020, bez odp.
- 5 unlinking when relaxing the homeomorphism condition MO 2020, 1 odp. ✓
- 5 Dehn surgery on $S^3$ along a Hopf link with rational surgery coefficients MO 2020, 1 odp. ✓
- 5 Non-alternating knot diagrams MO 2020, 1 odp. ✓
- 5 Embedded ribbons and regular isotopy MO 2020, 3 odp. ✓
- 5 Negative surgeries on negative knots MO 2020, 2 odp. ✓
- 5 What is the explicit relationship between the shape parameters and the holonomy of a hyperbolic ideal triangulation? MO 2020, bez odp.
- 5 Reference for Cochran-Orr-Teichner's filtrations on knot concordance MO 2020, 2 odp. ✓
- 5 Hyperbolicity of twist knots MO 2020, 1 odp.
- 5 How does the scalar TV invariant of a 3-manifold with boundary fit into the TQFT picture? MO 2020, 1 odp. ✓
- 5 The metric difficulty of unknotting unknots MO 2020, 1 odp. ✓
- 5 Do there exist non-trivial knots whose Jones polynomial is a unit? MSE 2020, bez odp.
- 5 Do there exist any variational principles on the space of braids (or knots)? MO 2020, 1 odp. ✓
- 5 Rational surgery and attaching $2$-handles MO 2019, 2 odp. ✓
- 5 Knot group is $\mathbb{Z}$ iff $K$ is the unknot MSE 2019, 1 odp. ✓
- 5 Reconciling Sullivan's theorem with the hyperbolic structure of the Figure–8 knot complement MO 2019, 1 odp. ✓
- 5 Computation of \tau invariant MO 2019, 1 odp.
- 5 Why is Furch's "knotted hole ball" not shellable? MSE 2019, 1 odp.
- 5 Slice knot and rational ball MO 2019, bez odp.
- 5 Surjection $\pi_1 (S^3 - 4_1) \to D_n$ MSE 2019, 2 odp. ✓
- 5 Seifert surfaces for knots $6_1, 6_2, 6_3$. MSE 2019, 1 odp. ✓
- 5 Finding a presentation matrix with low dimension MO 2019, bez odp.
- 5 Does WRT invariant detect hyperelliptic involution on the genus 2 surface? MO 2019, 2 odp.
- 5 Non-zero winding number on a space curve implies a linked curve in the zero set? MO 2019, 1 odp.
- 5 Zero surgery on a Seifert fiber space MO 2019, 2 odp. ✓
- 5 Dimension of the skein module of a closed manifold? MO 2019, 1 odp.
- 5 How to show that $\langle a,b \mid aba^{-1}ba = bab^{-1}ab\rangle$ is not Abelian? MSE 2018, 2 odp. ✓
- 5 Categorifying skein algebras? MO 2018, 1 odp. ✓
- 5 Unique prime factorisation on Riemannian manifolds? MSE 2018, bez odp.
- 5 Show a sequence of sums involving Catalan Numbers converges MO 2018, 1 odp. ✓
- 5 Why are two diffeomorphims of $R^n$ are always homotopic (in the same category)? MO 2018, 2 odp. ✓
- 5 Conformal boundary and cusp of figure-8 complement MO 2018, 1 odp. ✓
- 5 Presentations of the monoidal categories of virtual tangles and of welded tangles by generators and relations MO 2018, 1 odp. ✓
- 5 Is there a formal name for this type of knot? MSE 2018, 1 odp.
- 5 Seifert Matrices and Seifert Surfaces for the following two Brunnian links MSE 2018, 3 odp.
- 5 Properties and conjectures about alternating knots MSE 2017, bez odp.
- 5 Pull-back of knots in branched covers and the Alexander polynomial MO 2017, 1 odp. ✓
- 5 Can real algebraic knots be recovered from their projections? MO 2017, 2 odp. ✓
- 5 What's the best material for making knots? MSE 2017, 1 odp. ✓
- 5 Can a simple, closed curve be homeomorphic to a closed curve that is not simple? MSE 2017, 3 odp. ✓
- 5 On the research fertility of Arithmetic Topology. MSE 2017, bez odp.
- 5 How to mathematically describe a spiral torus knot? MSE 2017, 2 odp.
- 5 Upsilon of an alternating knot MO 2017, 1 odp.
- 5 Braid groups as knot groups? MSE 2017, 1 odp. ✓
- 5 List of Gauss Codes? MO 2016, 2 odp.
- 5 Vertex deletion in knotless and linkless graphs MO 2016, 1 odp. ✓
- 5 Fundamental group, homology of the complement of the "figure eight" knot in $S^3$? MSE 2016, 1 odp.
- 5 Knot invariants from skein relations MO 2016, 1 odp. ✓
- 5 Why headphones get tangled if headphones are in a pocket? MSE 2016, 1 odp. ✓
- 5 Distribution of Random Knots from Braids MO 2016, bez odp.
- 5 Expressing knot polynomials as casimirs MO 2016, bez odp.
- 5 What is the Heegaard Floer Homology of a connect sum of $S^2 \times S^1$s? MO 2016, 1 odp. ✓
- 5 How long does it take for the action of the braid monoids on Laver tables to become trivial? MO 2016, bez odp.
- 5 the evaluation of the Jones polynomial of an alternating link at $ t= -1 $. MSE 2016, 2 odp. ✓
- 5 Linking circles inside an immersed surface MSE 2016, bez odp.
- 5 Can the ribbon category of f.d. reps of $\mathcal{U}_q(\mathfrak{sl}(2))$ be modified so the twist is trivial on the vector representation? MO 2016, 1 odp. ✓
- 5 Ascending surfaces in the 4-ball MO 2016, 1 odp. ✓
- 5 Framed singular knots MO 2015, bez odp.
- 5 Does $H_*(A^-_0(K))=\mathbb{F}[U]$ imply that $K$ is an L-space knot? MO 2015, 1 odp.
- 5 Are Markov traces matrix traces? MO 2015, 1 odp. ✓
- 5 Showing that gluing two knot exteriors together contains subgroups isomorphic with the knot groups. MSE 2015, 1 odp. ✓
- 5 How to prove a knot with genus larger than 1 is prime, such as Miller Institute Knot? MSE 2015, 2 odp. ✓
- 5 Recovering knot crossing orientations from a Gauss code or Dowker notation MSE 2015, 1 odp. ✓
- 5 arc length of a knot in the solid torus MO 2015, 1 odp.
- 5 2-bridge knots in the Rolfsen's table MO 2015, 3 odp. ✓
- 5 Why does the Gluck twist on a spun knot give the standard $S^4$? MO 2015, 1 odp. ✓
- 5 Are there spaces in which there are no fibered knots? MO 2015, 1 odp. ✓
- 5 Is there a known Legendrian simple link? MO 2015, 1 odp.
- 5 Knot invariants in 3-manifolds that are not $\mathbb{R}^3$ or $S^3$ or $B^3$? MO 2014, 1 odp. ✓
- 5 Heegaard Floer Homology of double branched cover MO 2014, 3 odp.
- 5 Jones polynomial of the concatenation of two braids MO 2014, 2 odp. ✓
- 5 Is a knot shadow always compatible with the trivial knot? MSE 2014, 2 odp. ✓
- 5 Do the composition of two Knots always yield a distinct knot (ignoring orientation)? MSE 2014, 1 odp.
- 5 Applying Khovanov homology to two different non-trivial diagrams of the unknot MSE 2014, 1 odp. ✓
- 5 Knot theory: showing that the ambient isotopy relation is symmetric MSE 2014, 2 odp. ✓
- 5 Knot Theory: Smooth vs Polygonal MSE 2014, 1 odp. ✓
- 5 Ribbon knot presentations MO 2014, bez odp.
- 5 How to reason about disentanglement "tavern" puzzles? MSE 2014, 1 odp. ✓
- 5 The cyclic branched covers of "simple" knots in $S^3$ MO 2013, 1 odp. ✓
- 5 Name of a link invariant? MSE 2013, 1 odp. ✓
- 5 Computing the volume of a hyperbolic knot MSE 2013, 1 odp. ✓
- 5 Reference for a theorem on crossing changes of links MO 2013, 1 odp.
- 5 Gaussian linking coefficient definition MSE 2013, 1 odp. ✓
- 5 Finding the Alexander polynomial of the following braid closure MSE 2013, 1 odp.
- 5 Satellite knot example MO 2013, 1 odp.
- 5 One question about the quandle MO 2013, 1 odp.
- 5 Equivalence of knots MSE 2013, 1 odp. ✓
- 5 $3\tau(K_1$#$K_2)$=$\tau(K_1)\tau(K_2)$ MSE 2013, 1 odp.
- 5 Cancelling 3-handles in Kirby diagrams MSE 2013, 2 odp. ✓
- 5 Can the HOMFLY polynomial be obtained from the Kauffman Polynomial for torus knots? MSE 2012, bez odp.
- 5 Links with same Jones polynomial MO 2012, 3 odp. ✓
- 5 What is smoothness needed for? MSE 2012, 2 odp. ✓
- 5 Question about definition of regular projection of a knot MSE 2012, 1 odp.
- 5 Assigning alternate crossings to closed curves MSE 2012, 1 odp. ✓
- 5 Sarkar's Maslov index formula MO 2012, 1 odp.
- 5 Infinite knot composed of parallel helices MO 2012, 2 odp. ✓
- 5 On finding A-polynomials MO 2012, bez odp.
- 5 Euclidean symmetries of torus links in R^3 MO 2012, 1 odp. ✓
- 5 Self-Linking Number on 3-Manifolds MSE 2012, 2 odp. ✓
- 5 Stick knot questions: simple but may not be easy MO 2012, 4 odp.
- 5 Jones(unlink)=phi MO 2012, 1 odp. ✓
- 5 Various types of TQFTs MSE 2012, 1 odp. ✓
- 5 Genus of fattened knots and links MSE 2012, bez odp.
- 5 Unknotting knots in 4D MO 2012, 2 odp. ✓
- 5 How does one relate the monodromy of the KZ equations with the WRT representation of the braid group? MO 2011, 1 odp. ✓
- 5 knot invariants from the symmetric group MSE 2011, 1 odp. ✓
- 5 Knots with Fox tricoloring number $\mathrm{tri}(K)=27$ MSE 2011, bez odp.
- 5 Is there a version of Seiberg-Witten-Floer or Heegard-Floer homology for 3-manifolds with boundary? MO 2011, 3 odp.
- 5 restrictions on the fundamental group of a knot complement? MSE 2011, 3 odp. ✓
- 5 Can the HOMFLY polynomial be defined for framed unoriented links? MO 2010, 1 odp.
- 5 Genera and the Milnor Conjecture on the Unknotting Number of a Torus Knot MO 2010, 1 odp.
- 5 Unknotting tunnels in surface bundles MO 2010, 2 odp. ✓
- 5 ambient isotopy and isotopy on knot MO 2010, bez odp.
- 5 generators for Hecke algebra quotients MO 2010, bez odp.
- 4 Calculating Wirtinger presentation of the group of the Granny knot and the Square knot MSE 2026, 1 odp. ✓
- 4 Are the higher homotopy groups of fibered knots finitely generated? MSE 2026, 1 odp.
- 4 Local branch-choice rigidity in Green $R$-classes of finite set-theoretic Yang–Baxter solutions MO 2026, bez odp.
- 4 What is $\pi_2$ of a tangle exterior? MO 2026, bez odp.
- 4 Smooth unknotting of noncompact manifolds in high codimension? MO 2026, bez odp.
- 4 Why are 2-bridge links strongly invertible? MSE 2026, 2 odp.
- 4 Is Beier's spectral sequence starting from odd Khovanov homology actually stronger than odd Khovanov homology? MO 2026, bez odp.
- 4 A possible generalization of $(p,q)$ torus knot MO 2026, 1 odp. ✓
- 4 What kind of planar diagram representation gives rise to an actual link planar diagram? MO 2025, 2 odp. ✓
- 4 Could any one explain why $CFK(K_-)$ can be viewed as a mapping cone? MO 2025, bez odp.
- 4 When should I use classification of closed 2 manifolds? MSE 2025, bez odp.
- 4 Does every embedded circle in $\Bbb R^4$ bound a disk? MSE 2025, bez odp.
- 4 Is the simplicial volume of a satellite realized by a representation? MO 2025, 2 odp.
- 4 Does my simple discrete definition of a knot work? MSE 2025, 1 odp.
- 4 The absolute value of the Alexander Polynomial of a Knot at 𝑡 = −1 modulo 4 MSE 2025, 1 odp. ✓
- 4 Is there a simply connected Hausdorff space $X$ which admits an embedding of $S^1$ that does not extend to a locally injective map $D^2 \to X$? MSE 2024, 1 odp. ✓
- 4 Tangle hypothesis and ribbon category MO 2024, 1 odp. ✓
- 4 Slice-ribbon conjecture in other 3-manifolds MO 2024, 1 odp. ✓
- 4 Finding an overtwisted disk in a contact surgery diagram MO 2024, 1 odp.
- 4 Computing the second Vassiliev invariant only using the configuration spaces of triples and quadruples of points on a knot MO 2024, bez odp.
- 4 A polynomial vector field on $\mathbb{R}^3$ which has a knot periodic orbit MO 2024, 3 odp. ✓
- 4 Seifert surfaces of fibered knots MO 2024, 1 odp. ✓
- 4 Seifert invariants for Brieskorn manifolds $\Sigma(p,q,r)$ MO 2024, 1 odp. ✓
- 4 If the complement of a knot $K$ fibers over the circle is $K$ necessarily fibered? MO 2024, 1 odp.
- 4 Linking number of irregular curves MSE 2024, 1 odp. ✓
- 4 Coloured Jones polynomial at 4th root of unity and Arf invariant MO 2024, bez odp.
- 4 Coloured Jones polynomial of the mirror image of a multicomponent link MO 2024, bez odp.
- 4 History of knot enumeration tables MO 2024, 1 odp.
- 4 Intersection Form from a Kirby Diagram MSE 2023, bez odp.
- 4 Casson's knot invariant MO 2023, 1 odp.
- 4 What is the algorithmic complexity of knot equivalence? MSE 2023, 1 odp. ✓
- 4 KLO for operations over braids MO 2023, bez odp.
- 4 Check if there is a knot between piecewise linear line connecting finite number of points MSE 2023, 1 odp. ✓
- 4 Equiangular piecewise circular knot projection MO 2023, bez odp.
- 4 Kaufman Bracket on Links vs Framed Links MSE 2023, bez odp.
- 4 A torus whose middle is tied in an overhand knot; how many holes does it have? MSE 2023, 1 odp. ✓
- 4 Knot theory in handlebodies of arbitrary genus MO 2023, 2 odp.
- 4 Finite application of one of Reidemeister moves on a knot diagram MO 2023, 2 odp.
- 4 Topological type of complement of Heegaard curves in Heegaard surface $(\Sigma - \alpha - \beta)$ MO 2023, 1 odp.
- 4 Describing the homotopy explicitly. MSE 2023, 1 odp. ✓
- 4 Clarification on constructing a smooth map near singular points in Miller and Piccirillo's proof MSE 2023, bez odp.
- 4 Proving that $n$-component Brunnian link is nontrivial MSE 2022, 1 odp.
- 4 Alexander polynomials for a certain family of closed braids MO 2022, 1 odp. ✓
- 4 How does knot theory deal with a cow hitch? MSE 2022, 1 odp. ✓
- 4 The same PD code seems to yield two different knot diagrams of the Hopf link MSE 2022, 2 odp.
- 4 Reshuffling power series (aka Melvin–Morton expansion in knot theory) MO 2022, bez odp.
- 4 A uniform limit of bi-Lipschitz embedding which preserves total length MSE 2022, 1 odp. ✓
- 4 How to set up Chern-Simons theory, compute its "topological gauge shift" term, and compute its quantum path integrals with Wilson lines? MSE 2022, bez odp.
- 4 Poincaré dual of the Alexander dual of the fundamental class of a knot is given by a Seifert surface MO 2022, 1 odp.
- 4 Different 2D projections of a 3D knot MO 2022, bez odp.
- 4 String rewrite system for algebraic knots/links? MO 2022, bez odp.
- 4 Tangles whose unknottedness realize boolean functions? MO 2021, bez odp.
- 4 How to recognize torus knots MSE 2021, 1 odp. ✓
- 4 How to tell if a straight line will pass through a closed loop in 3-space? MSE 2021, 1 odp.
- 4 If an embedding of $S^1\times I$ has nice edges, are the edges ambiently isotopic? MSE 2021, 2 odp. ✓
- 4 Links to Étienne Ghys's 2006 ICM Talk "Knots and Dynamics" MSE 2021, bez odp.
- 4 Kirby's theorem for 4-manifolds MO 2021, bez odp.
- 4 Normal form of framed links under Kirby moves MO 2021, 1 odp. ✓
- 4 Quadratic cusp shape MO 2021, 2 odp. ✓
- 4 Computation of cusp shape from vertex invariants MO 2021, 1 odp. ✓
- 4 Ideal triangulation of compact 3-manifolds MSE 2021, 1 odp. ✓
- 4 Ambiguity in the unoriented knot connected sum MO 2021, 1 odp.
- 4 Link invariants from modular categories (strictification and computation) MO 2021, 1 odp.
- 4 Minimal number of generators of satellite knot groups MO 2021, 1 odp. ✓
- 4 Why can't a knot be a space filling curve? MSE 2021, 1 odp.
- 4 Link at infinity of a complex algebraic curve transverse to S^3 and non-singular in D^4 MO 2021, 1 odp. ✓
- 4 From braid representations to link invariants MO 2021, 1 odp. ✓
- 4 Notes on Low-Dimensional Topology MSE 2021, 1 odp.
- 4 Computation of Colored HOMFLY Polynomials MO 2021, bez odp.
- 4 Thompson's group F and algebraic links MO 2021, bez odp.
- 4 Application of higher-dimensional knot theory MSE 2021, bez odp.
- 4 Knot theory and creative writing? MSE 2021, bez odp.
- 4 Is this knot-forming process a categorical construction? MSE 2021, bez odp.
- 4 Mazur homology spheres MO 2020, 1 odp. ✓
- 4 Is number of knot strands an invariant? MSE 2020, 1 odp. ✓
- 4 On Ozsváth and Szabó's branched covering description of holomorphic disks in symmetric products MO 2020, 1 odp. ✓
- 4 $0$-surgery of slice knots and contractible manifolds MO 2020, 2 odp. ✓
- 4 Which knots can be embedded in $\mathbb{R}^3$ in a centrally symmetric manner? MSE 2020, 1 odp. ✓
- 4 Example of knot that "becomes unknotted in a different 3-manifold"? MSE 2020, 1 odp. ✓
- 4 Higher homotopy of knot theory space MSE 2020, 1 odp.
- 4 Maximal Thurston–Bennequin number of boundary knot classes in contact handlebodies MO 2020, bez odp.
- 4 Are these two links equivalent? MSE 2020, 1 odp.
- 4 Heegard diagrams for three-manifolds MO 2020, 2 odp.
- 4 Not every 3-manifold is a graph manifold MSE 2020, bez odp.
- 4 Unusual skein relation in HOMFLY polynomial MO 2020, 1 odp.
- 4 Unknotting algorithm in higher dimensions? MO 2020, 1 odp. ✓
- 4 Implementation of Koebe–Andreev–Thurston circle packing? MO 2020, 1 odp.
- 4 A wild knot and its complement MSE 2020, 1 odp. ✓
- 4 An upper bound for second type of Reidemeister move MO 2020, bez odp.
- 4 Braided monoidal categories MO 2020, bez odp.
- 4 Oriented knots, equivalence relation MSE 2019, 2 odp. ✓
- 4 Boundary of slice disk exterior is the zero surgery of slice knot MSE 2019, bez odp.
- 4 Finding all quotients of the braid group $B_5$ up to order $720$ MSE 2019, 2 odp. ✓
- 4 The existence of a square! MSE 2019, 1 odp.
- 4 Khovanov Homology in Macaulay2 MO 2019, 1 odp.
- 4 Borromean Lines of three $\mathbb{R}^1$ in $\mathbb{R}^3$ and analogous Milnor link invariants MO 2019, bez odp.
- 4 Can different knots have the same numbers of quandle colorings for all quandles? MO 2019, 2 odp. ✓
- 4 Knot and its embedded disk MO 2019, bez odp.
- 4 How the projection of third Reidemeister move is a homotopy of immersed knot diagrams? MSE 2019, 1 odp. ✓
- 4 Proving this 1-manifold is the Hopf link MSE 2019, 1 odp. ✓
- 4 Are Turaev-Viro invariants holonomic? MO 2019, bez odp.
- 4 Using grid diagram to compute the Alexander polynomial MSE 2019, 1 odp. ✓
- 4 Sliceness of knots MO 2019, 1 odp.
- 4 How to determinate the the number of crossing points? MSE 2019, 1 odp. ✓
- 4 Chirality and Anti-Chirality of links in 3 and in 5 dimensions MO 2019, 2 odp.
- 4 Have similar theories like knot theory been developed in higher dimensions? MSE 2019, 1 odp. ✓
- 4 Number of minima in a ribbon disk? MSE 2019, 2 odp. ✓
- 4 Pre-images of Seifert surfaces are incompressible? MO 2019, 1 odp. ✓
- 4 Khovanov Homology MSE 2018, 1 odp. ✓
- 4 Existence of transverse homotopy between knots in a 3-manifold MSE 2018, 1 odp. ✓
- 4 A combinatorial gadget for smoothly slice knots MO 2018, bez odp.
- 4 Does the monoid of knots form a ring? MSE 2018, 2 odp. ✓
- 4 Wrong calculation of the knot group of a trefoil MSE 2018, bez odp.
- 4 If a link consists of two unknots, can we conclude that the two components are symmetric? MSE 2018, 1 odp. ✓
- 4 Framing dependence of HOMFLY polynomial MO 2018, 1 odp. ✓
- 4 Rank of the 2-cover space of a knot space MSE 2018, 1 odp.
- 4 Homology of a Link Complement MSE 2018, 1 odp. ✓
- 4 Quandle homomorphism does not always induces group homomorphism on inner automorphism groups of quandles MO 2018, 1 odp. ✓
- 4 Blow-up and Blow-down kirby local moves for non-orientable $3$-manifold MO 2018, bez odp.
- 4 Multivariate Alexander polynomial vs single variable (Conway) Alexander polynomial MO 2018, 1 odp.
- 4 How disconnected can a Seifert surface be? MO 2018, 1 odp.
- 4 Is the Trefoil knot isotopic to the unknot (torus) in ambient $\mathbb{R}^4$? MSE 2018, 1 odp.
- 4 Stick number of Trefoil MSE 2018, 2 odp. ✓
- 4 Kontsevich invariant of surface knot MSE 2018, 1 odp.
- 4 Cap product for (co)homology from handle decompositions/Kirby diagrams MO 2018, bez odp.
- 4 On Alexander polynomial of a knot MSE 2018, 1 odp. ✓
- 4 Are any knot volumes known to be (ir)rational? If not, then why is the question difficult? MSE 2018, 2 odp. ✓
- 4 The inside of a closed compact surface $\sum_g$ MSE 2018, 1 odp. ✓
- 4 Infinitely many Brunnian links with bounded crossings MO 2018, 1 odp. ✓
- 4 Is unknot a composite knot? MSE 2018, 1 odp. ✓
- 4 Arclength Parameterization of the Trefoil Knot MSE 2017, 1 odp.
- 4 Can knot non-equivalence be a proof-of-work for a cryptocurrency? MO 2017, bez odp.
- 4 Are there Kirby diagrams with 3-handles? MO 2017, 2 odp. ✓
- 4 What happens if we generalize the fundamental group to make knotted loops distinct? MO 2017, 1 odp.
- 4 How to think about concordance? MSE 2017, 1 odp. ✓
- 4 Trivial knot with some crossing points MSE 2017, 1 odp.
- 4 Dehn surgery for infinite cyclic cover MSE 2017, bez odp.
- 4 Torsion in fundamental groups of compliments of codimension 2-submanifolds of spheres MSE 2017, 1 odp. ✓
- 4 Twisting equivalent links and the isotopy type of the resulting links MO 2017, 1 odp. ✓
- 4 Bridge Presentation of a Knot MSE 2017, 2 odp. ✓
- 4 Twisted Whitehead double of trefoil knot MO 2017, bez odp.
- 4 On the quadratic equivalence of fields MO 2017, bez odp.
- 4 On the genus of thin knots and the degree of the Alexander polynomial MO 2017, 1 odp.
- 4 Braid group and knot group MO 2017, 2 odp. ✓
- 4 What $n$-links can be represented as closed pure braids? MSE 2017, 1 odp.
- 4 Knotted TSP tours in 3D? MO 2017, 1 odp.
- 4 Existence of knotted periodic orbits in the Lorenz equations MSE 2017, 1 odp. ✓
- 4 Purpose of the knot group MSE 2017, 3 odp. ✓
- 4 Why is the unknotting number of Borromean rings 1? MSE 2017, 1 odp. ✓
- 4 Invariance of Khovanov homology under first Reidemester move MO 2017, 1 odp.
- 4 Definition of a Knot MSE 2017, 1 odp. ✓
- 4 What is Knot quandle ? MSE 2017, 1 odp. ✓
- 4 Cyclic coverings of knots MSE 2017, 1 odp. ✓
- 4 Seiberg-Witten theory in 4d is categorification of Seiberg-Witten in 3d MO 2017, bez odp.
- 4 Number of Components of Pretzel links MSE 2017, 1 odp.
- 4 braid representation of a Montesinos link MO 2017, 1 odp.
- 4 Is there a TQFT of links and their "cobordisms" (embedded surfaces in $S^3\times [0,1]$)? MSE 2016, bez odp.
- 4 Knot complements with respect to Thurston's 8 geometries MO 2016, 1 odp.
- 4 Why is the Jones polynomial for a knot a Laurent polynomial? MSE 2016, 1 odp. ✓
- 4 Two questions on tunnel numbers of knots. MSE 2016, 1 odp. ✓
- 4 Tricolorability of knots: Are there knots of arbitrary large k-colorability? MSE 2016, 2 odp. ✓
- 4 Unknotting knot diagrams by Reidemeister moves and crossing changes MO 2016, 1 odp. ✓
- 4 Current research on inverse knot equivalence? MSE 2016, 2 odp. ✓
- 4 Connection between cardiac equations and untangling knots? MO 2016, bez odp.
- 4 Looking for examples of large hyperbolic two-generator knots or 3-manifolds MO 2016, 2 odp. ✓
- 4 How is the Alexander polynomial computed from the Alexander quandle? MSE 2016, 1 odp.
- 4 Are the generators of the braid group conjugates? MSE 2016, 2 odp. ✓
- 4 How many quadratic fields occur as trace fields of hyperbolic knot complements? MO 2016, 1 odp. ✓
- 4 Exterior of a torus knot is Seifert-fibered. MSE 2016, bez odp.
- 4 planarity of trivalent graphs with a cyclic ordering on the edges in each vertex MSE 2016, 1 odp. ✓
- 4 Homology of knot exterior in general manifold for not null-homologus knot MSE 2016, 1 odp.
- 4 Complement of a knot that *isn't* rationally null-homologous MSE 2016, 1 odp.
- 4 About the trefoil knot group and the connected sum of trefoil knots MSE 2016, 1 odp. ✓
- 4 What is the abelianization of $\pi_1(\mathbb{R}^3\setminus k)$, where $k$ is a knot in $\mathbb{R}^3$ MSE 2015, 2 odp. ✓
- 4 Knot invariants which arise as the solution of differential equations along the knot MO 2015, bez odp.
- 4 Perform 0-framed surgery, then remove neighbourhood of meridian. Is this the knot complement? MSE 2015, 1 odp. ✓
- 4 Knot Group and the Unknot MSE 2015, 3 odp. ✓
- 4 Alexander-Conway polynomial of the sum of two knots MSE 2015, 1 odp.
- 4 Physical strength of a link MO 2015, 1 odp. ✓
- 4 Ways to link the unknot to a pole MSE 2015, 1 odp.
- 4 Unique Conway notation for knots? MSE 2015, 2 odp. ✓
- 4 Mistake in the definitions of the linking number. MSE 2015, 1 odp. ✓
- 4 When does $\pi_1(\Sigma)$ inject into $\pi_1(S^3 \setminus \Sigma)$? MSE 2015, 1 odp. ✓
- 4 Higher homology groups of infinite cyclic cover MSE 2015, 3 odp.
- 4 Books about braid theory MSE 2015, 2 odp. ✓
- 4 Hopf link from analytic geometry MO 2015, 1 odp.
- 4 Oriented knot complement conjecture for fibered knots MO 2015, 1 odp.
- 4 What is the relation between the construction of Reshetikhin-Turaev and Witten's paper? MSE 2015, bez odp.
- 4 Software for drawing braid-related graphs MSE 2015, 1 odp. ✓
- 4 Jones polynomial of tangles using Temperley-Lieb algbra? MO 2014, 1 odp.
- 4 Is there a Knot Theory software to analyze general curves in 3D? MSE 2014, bez odp.
- 4 Knots which are composed of several strands MSE 2014, 1 odp.
- 4 Gauss Codes that produce classical knots as opposed to virtual knots MO 2014, 3 odp. ✓
- 4 Computable link invariants MO 2014, 1 odp. ✓
- 4 Rolfsen exercise, chord theorem MSE 2014, 1 odp. ✓
- 4 How to tell if two or more knots are linked MO 2014, 2 odp.
- 4 Khovanov $sl_2$ homology of a connected sum of some torus knots MO 2014, 1 odp. ✓
- 4 Good resource for learning braid theory? MSE 2014, 2 odp. ✓
- 4 Finding the jones polynomial of the following knot MSE 2014, bez odp.
- 4 Alexander invariant of torus knot MO 2014, 1 odp.
- 4 More knots as crossing number increases? MSE 2014, 2 odp. ✓
- 4 The math notation of this links? (connect sum of Hopf links) MSE 2014, 1 odp. ✓
- 4 Alexander–Briggs notations for the links or knots of $N^3_m$ MSE 2014, 1 odp. ✓
- 4 Knot Theory: Mutations MSE 2014, 2 odp.
- 4 Knot theory question MSE 2014, 1 odp.
- 4 Immersed Seifert surfaces of minimal genus MO 2014, 1 odp. ✓
- 4 Jones polynomial of 2-knots MO 2014, bez odp.
- 4 What does the tensor product in the definition of Combinatorial Floer knot homology look like? MSE 2013, 1 odp.
- 4 Dehn and Wirtinger Presentations of Knot Groups and their connection MSE 2013, 1 odp.
- 4 The Maslov triple product is alternating in its entries MO 2013, 1 odp.
- 4 Surgery on trivial knots MSE 2013, 1 odp. ✓
- 4 Recommended books on knot invariants MSE 2013, 2 odp.
- 4 Are there Kirby diagrams for manifolds with boundaries? MSE 2013, 1 odp. ✓
- 4 Is the normalised Kauffman bracket more powerful than the Kauffman bracket? MO 2013, bez odp.
- 4 Wirtinger Presentation for the Figure eight knot, Rolfsen exercise MSE 2013, 1 odp.
- 4 Is a generic link diagram semi-adequate? MO 2013, bez odp.
- 4 trefoil knot and meridian/longitudinal cycles MSE 2013, 1 odp. ✓
- 4 0,1 Maslov potentials on Legendrian knots MO 2013, 1 odp.
- 4 Can distinct open knots correspond to the same closed knot? MO 2013, 2 odp. ✓
- 4 Alexanderpolynomial of connected sum via Fox calculus and Wirtinger presentation MSE 2013, 1 odp.
- 4 Trefoil knot and Figure 8 knot are prime knots MSE 2013, 1 odp. ✓
- 4 How to make a $C^1$ knot into a $C^\infty$ knot MSE 2013, 1 odp.
- 4 Burau matrix of braid MSE 2013, 2 odp.
- 4 Sufficient conditions for knot quandle homomorphisms MSE 2013, 1 odp.
- 4 boundary map in the (M-V) sequence MSE 2013, 1 odp. ✓
- 4 Types of knot invariants MSE 2013, 1 odp.
- 4 Figure eight knot is not a torus knot MSE 2013, 2 odp.
- 4 A puzzle on knotted surfaces MSE 2013, 2 odp. ✓
- 4 Some questions about ideal knots MO 2013, 1 odp.
- 4 does a method exist to distinguish two component link consisting of just two unknots from an unlink? MSE 2013, bez odp.
- 4 Reidemeister III and minimal crossing knot MSE 2013, 1 odp.
- 4 maslov index of a holomorphic disk MO 2012, bez odp.
- 4 Knots in $S^1\times S^2$ MSE 2012, 1 odp. ✓
- 4 Can we get the HOMFLY polynomial for a torus knot from the Kauffman Polynomial? MO 2012, 1 odp.
- 4 Problems about the Estimate the Unknotting Number MO 2012, 1 odp. ✓
- 4 About Kirby Diagrams MSE 2012, 1 odp. ✓
- 4 slice knots, what does the locally flat condition say? MO 2012, 3 odp. ✓
- 4 Khovanov-Rozansky $sl_2$ homology and the "original" Khovanov homology. MO 2012, 1 odp.
- 4 Constructing Markov traces simply MO 2012, bez odp.
- 4 Why is the quantum Lorentz group not connected? MO 2012, 1 odp.
- 4 Growth of knots possible with rope of length L MO 2012, 1 odp. ✓
- 4 Connected Sum Decomposition of a Knot MO 2011, bez odp.
- 4 Locally flat submanifold MSE 2011, 1 odp. ✓
- 4 Reshetikhin-Turaev and links with a distinguished component MO 2011, bez odp.
- 4 4-Manifolds of which there exist no Kirby diagrams MSE 2011, 1 odp.
- 4 Positivity of braid monodromy of curve singularities MO 2011, bez odp.
- 4 Pretzel knot equivalence MSE 2011, 1 odp.
- 4 Cubic skein relations MO 2010, 1 odp. ✓
- 4 ribbon links - counterexamples MO 2010, bez odp.
- 4 Knot database including text names MO 2010, 1 odp.
- 4 Branched covering vs Covering space of 0-surgery manifold ?? MO 2010, bez odp.
- 4 Order of "one minus automorphism" MO 2010, 2 odp. ✓
- 4 4-genus of a 2-bridge link MO 2010, 4 odp. ✓
- 4 relationship between borromean rings and hanging-a-picture-from-three-nails puzzle? MO 2010, 1 odp. ✓
- 3 Tame, PL and smooth embedding theories are "almost the same" in low dimensions MO 2026, bez odp.
- 3 Blow down moves of Kirby moves on 3 manifolds MSE 2026, bez odp.
- 3 The Existence of Heegaard Splittings MSE 2026, bez odp.
- 3 Simultaneous realization of knot symmetries by isometries MO 2026, bez odp.
- 3 When can I homotope a loop of link maps to a loop of link embeddings? MO 2025, 1 odp. ✓
- 3 Alexander polynomial of a twisted Whitehead double MO 2025, 2 odp.
- 3 Question regarding the formality and rigor of knot theory MSE 2025, bez odp.
- 3 How many ways to link 3 two-sided rings? MSE 2025, bez odp.
- 3 Minimality of a thickened trefoil knot surface simplicial complex MO 2025, 1 odp. ✓
- 3 Reference regarding quotients of link groups induced by link inclusions MSE 2024, 1 odp.
- 3 Composition of loops MSE 2024, 1 odp. ✓
- 3 Hat knot Floer Homology with Z coefficients calculation MO 2024, bez odp.
- 3 The link of the zero set of the polynomial $f(z_1,z_2)=z_1^p+z_2^q$ at the origin MSE 2024, 1 odp. ✓
- 3 Necessary condition for invertible knot concordance from both ends MO 2024, 2 odp.
- 3 A uniform upper bound for the linking number of periodic orbits of algebraic vector fields MO 2024, 1 odp. ✓
- 3 Skein relations in terms of cluster variables corresponding to arcs MSE 2024, bez odp.
- 3 How to properly define a slice knot (or a locally flat disk)? MO 2024, 1 odp.
- 3 Is there a Dehn-like presentation of a knot quandle? MO 2024, 1 odp. ✓
- 3 Link invariants on a thickened surface MO 2024, bez odp.
- 3 Cup-product ($\cup$) vs. cross-product ($\times$) on the space of graph homology MO 2024, bez odp.
- 3 Calculating homology of cobordism of 3-manifolds from Kirby diagram MSE 2024, bez odp.
- 3 quantum invariants, ribbon Tannakian duality and classification of ribbon Hopf algebras MO 2024, 1 odp. ✓
- 3 Extending curves on a surface to a basis for its first homology satisfying intersection criteria MO 2024, 1 odp. ✓
- 3 Rational 4-tangles vs rational knots MO 2024, 1 odp. ✓
- 3 Inverse of a smooth concordance of smooth knots MO 2024, 2 odp.
- 3 Why the bridge index of $8_{10}$ is 3? MSE 2023, 1 odp.
- 3 Showing a 4-manifold is contractible MSE 2023, 1 odp. ✓
- 3 How many configurations of tubes are there? MO 2023, 1 odp. ✓
- 3 How to count the number of line segments in a knotwork? MSE 2023, 1 odp. ✓
- 3 Equiangular spherical knot projection MO 2023, bez odp.
- 3 Classification of links made of rigid circles MSE 2023, 2 odp.
- 3 Straightforward reference on the unknotting number being a knot invariant MO 2023, 1 odp. ✓
- 3 Determining whether two groups are isomorphic based on Wirtinger presentation MSE 2023, 1 odp. ✓
- 3 Existence of a cone neighbourhood in an open disc with a point in the border MSE 2023, 2 odp.
- 3 Jones polynomial of a knot in terms of its Seifert matrix MSE 2023, 1 odp. ✓
- 3 Explicit parameterizations of complicated unlinks? MO 2023, bez odp.
- 3 Squier's conjecture on Burau at roots of unity MO 2023, 1 odp. ✓
- 3 A Mazur manifold bounded by $\Sigma(2,3,13)$ MO 2022, 1 odp. ✓
- 3 Picturing twisting of strands explicitly after blow downs MO 2022, 1 odp. ✓
- 3 Every tame knot is isotopic to the unknot MSE 2022, bez odp.
- 3 Algebraic variations of the full knot Floer complex MO 2022, 1 odp.
- 3 Is a complete knot polynomial known? MSE 2022, 2 odp. ✓
- 3 Smooth 4-genus not agreeing with topological 4-genus intuition MSE 2022, bez odp.
- 3 Knot group of a field extension MO 2022, 1 odp. ✓
- 3 Every diagrammatic map has only finitely many double points MSE 2022, 1 odp. ✓
- 3 Does this knot collinearity condition have a nontrivial solution? MSE 2022, bez odp.
- 3 A faulty proof that a Whitehead Double of a knot is smoothly slice MO 2022, 1 odp. ✓
- 3 Characterizing algebraic tangle by their double branched covers MO 2022, 1 odp. ✓
- 3 The same PD code seems to yield two different knot diagrams of the Hopf link MO 2022, 1 odp.
- 3 Is there surjective homomorphism of the fundamental group $\pi_1(\mathbb{R}^3 - 6_1^2)$ onto the dihedral group $D_{2\cdot 3}$ of $6$ elements? MSE 2022, bez odp.
- 3 Are two Seifert surfaces with the same Seifert matrix ambient isotopic? MSE 2022, 1 odp. ✓
- 3 Integral homology $S^1\times S^2$'s smoothly bounding integral homology $S^1\times B^3$'s MO 2022, bez odp.
- 3 Chekanov-Eliashberg Legendrian DGA with positive grading? MO 2022, bez odp.
- 3 Poincare dual of the Alexander dual of the fundamental class of a knot is given by a Seifert surface - proof MSE 2022, 1 odp.
- 3 An equivalence relation on knots similar to concordance MO 2022, 2 odp. ✓
- 3 Relationship between HOMFLY and Alexander-Conway polynomials MSE 2022, 1 odp.
- 3 Homology of knot complement in an arbitrary $3$-manifold MSE 2022, bez odp.
- 3 change of linking number along Seifert surface is given by algebraic intersection number MSE 2022, 2 odp. ✓
- 3 Seifert surfaces of knots MSE 2022, 1 odp. ✓
- 3 Glueing two 2-tangles MO 2022, 2 odp. ✓
- 3 Why can Rolfsen use Van Kampen? (Knots and Links) MSE 2022, 1 odp. ✓
- 3 Monodromy representation of branched covers MSE 2022, bez odp.
- 3 Closed-form expressions for the Kashaev invariant via surgery MO 2022, 1 odp. ✓
- 3 Why is $A - A^T$ unimodular for any Seifert-matrix $A$ of some knot $K$? MSE 2022, 1 odp. ✓
- 3 Action of ambient isotopies on the homology of an embedded $n$-torus in $\mathbb{R}^{n+1}$ and $S^{n+1}$ that bring the $n$-torus back to itself MSE 2022, 1 odp.
- 3 Hyperbolic volume of hyperbolic knots MO 2021, 2 odp.
- 3 Relative strength of Jones and colored Jones polynomials MO 2021, bez odp.
- 3 How many different planar embeddings of a graph are possible? MSE 2021, 1 odp. ✓
- 3 Formula for the Casson invariant in terms of the linking form MO 2021, 1 odp. ✓
- 3 A spectral sequence in Khovanov Homology MO 2021, bez odp.
- 3 "Effectivity" of braid notation for knots MO 2021, 1 odp. ✓
- 3 Reference for birational equivalence of $A$-polynomial curve and character variety MO 2021, 1 odp.
- 3 What's the Milnor's link group for the trivial knot in a lens space? MO 2021, bez odp.
- 3 How to define an angular form with bounded support? MSE 2021, 2 odp. ✓
- 3 What is a slice knot? MSE 2021, 1 odp.
- 3 Does an amphichiral knot admit roughly twice as many knot diagrams of a given crossing than a chiral knot? MO 2021, 1 odp. ✓
- 3 Null-spaces modulo n MSE 2021, 1 odp.
- 3 Braids of fibered knots MO 2021, bez odp.
- 3 What is the determinant of the R-matrix defining the colored Jones polynomial? MO 2021, 1 odp.
- 3 Characterisation of longitude and meridian of Knot groups MSE 2021, 1 odp.
- 3 Braid words for 2-bridge knots? (reference request) MSE 2021, bez odp.
- 3 Lifting a map to a homeomorphism of coverings MSE 2021, 1 odp. ✓
- 3 Knots with a braid presentation with only positive or negative crossings on each fixed position MO 2021, 1 odp. ✓
- 3 Linking number of torus links MSE 2021, 1 odp. ✓
- 3 Can Isotopic Arcs be Isotoped So That They Don't Intersect Until $t = 1$? MSE 2021, 1 odp. ✓
- 3 Handle decompositions of slice and ribbon disk exteriors MO 2021, 1 odp. ✓
- 3 Homotopy equivalence vs. Homeomorphism vs. Ambient isotopy MSE 2020, bez odp.
- 3 Unknotting in Morse notation without introducing new strands MO 2020, 2 odp. ✓
- 3 Using a 4th dimension to make Seifert surfaces isotopic? MO 2020, bez odp.
- 3 Is every tricolourable knot chiral? MO 2020, bez odp.
- 3 Pronunciation of HOMFLY polynomial MSE 2020, 1 odp. ✓
- 3 Khovanov-Rozansky/HOMFLY-PT homology in type B MO 2020, 1 odp.
- 3 Discrepancy in sources of the complement of the Borromean rings? MSE 2020, bez odp.
- 3 If we remove $3$ lines from $\mathbb{R}^3,$ is this the $3$-torus? MSE 2020, 3 odp. ✓
- 3 Looking through a bunch of links for unlinks? MO 2020, 2 odp. ✓
- 3 Prove that the Alexander Polynomial does not depend on which column is eliminated from the crossing/arc matrix. MSE 2020, bez odp.
- 3 Nullity of the linking matrix of a framed link MSE 2020, bez odp.
- 3 Is there a way to get from a polynomial to a link with the polynomial as its Jones polynomial? MSE 2020, bez odp.
- 3 Distortion of the Unknot MSE 2020, 1 odp. ✓
- 3 Classification of knots with unknotting number 1. MSE 2020, 1 odp. ✓
- 3 Are the tangle functors based off Khovanov homology braided monoidal functors? MO 2020, bez odp.
- 3 Homology torsion in the double branched cover of a tangle? MO 2020, 2 odp. ✓
- 3 Rigid Brunnian links for $n \geq 4$ MO 2020, 1 odp. ✓
- 3 How to show that $\pi_1(\mathbb{R}^3\setminus k_{2,3}\#-k_{2,3})\not\cong\pi_1(\mathbb{R}^3\setminus k_{2,3}\# k_{2,3})$? MSE 2020, 1 odp. ✓
- 3 Transverse knots with knot types of strongly quasi-positive knots MO 2020, 1 odp.
- 3 Approximative extension of the autohomeomorphism of the complement of the trivial knot? MO 2020, bez odp.
- 3 Homotopy rel boundary of disks in knot complement $\times I$ MSE 2020, 1 odp. ✓
- 3 Alexander duality and homology equivalence MO 2020, 2 odp.
- 3 Conjugacy classes with linking number 1 in the complement of a knot? MSE 2020, 1 odp. ✓
- 3 Maximize integral over a 3D knot - how to make my intuition rigorous? MSE 2019, 1 odp.
- 3 Tubular neighbourhoods are unique up to ambient isotopy? MO 2019, bez odp.
- 3 How do you prove Reidemeister’s theorem for wild knots? MSE 2019, 1 odp.
- 3 Why the Alexander polynomial of the unknot (trivial knot ) is the constant polynomial $1?$ MSE 2019, 1 odp. ✓
- 3 Easy lemma for trivalent graphs in colored Jones polynomial MO 2019, 1 odp. ✓
- 3 Distinguishing Square Knot and Granny Knot using Quandles MO 2019, 1 odp. ✓
- 3 Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$. MSE 2019, bez odp.
- 3 Obtaining the bounding 4-manifold from the Heegaard diagram MO 2019, 1 odp.
- 3 Definition of knot $p$-colorability MSE 2019, 1 odp. ✓
- 3 Has the braiding pattern of circles with points infinitesimally close to the center been studied? MSE 2019, bez odp.
- 3 Open tubular neighborhood of $2$-disk in $4$-ball and its exterior MSE 2019, 1 odp. ✓
- 3 Racks with "trichotomy" MO 2019, 1 odp. ✓
- 3 Shelves with "trichotomy" MO 2019, 1 odp. ✓
- 3 Find a compact orientable surface whose boundary is the Hopf Link. MSE 2019, 1 odp. ✓
- 3 Reference request for knot's signature via skein relation MSE 2019, 1 odp. ✓
- 3 "Human Knot" solvability probability MSE 2019, 1 odp.
- 3 Why a special ball in $S^3$ is unique? MSE 2019, 1 odp. ✓
- 3 What is the braid word for the link L6n1 MSE 2019, 1 odp.
- 3 Is the Artin Spin construction related to the suspension functor? MO 2019, 2 odp. ✓
- 3 Subalgebras and ideals of algebra of Vassiliev invariants MO 2019, bez odp.
- 3 Why is the fundamental group of the Hopf link abelian but a two component unlink isn't MSE 2019, 2 odp. ✓
- 3 Extending $S^1$ to an embedding of $D^2$ in $\mathbb{R}^3$ MSE 2019, 1 odp. ✓
- 3 Handlesliding a two component, linking number 1 link MO 2019, bez odp.
- 3 A question about Witten's understanding of Jones polynomial MSE 2018, bez odp.
- 3 "Reidemeister moves" for self-intersecting loops MO 2018, 1 odp. ✓
- 3 Quantum Groups for Generic q and 3d-TQFT. What breaks? MSE 2018, bez odp.
- 3 Is there a $4$-component link such that upon removing any one of them you get the Borromean link? MSE 2018, 3 odp. ✓
- 3 Practical Use of knots in real world. MSE 2018, 2 odp. ✓
- 3 Basis for Annular Skein Algebra MO 2018, 1 odp. ✓
- 3 Free action of finite cyclic group on $S^3$ MSE 2018, 1 odp. ✓
- 3 Trefoil Knot Group MSE 2018, bez odp.
- 3 Quandle homomorphism does not always induces group homomorphim on inner automorphism group of quandles. MSE 2018, 1 odp. ✓
- 3 Multivariable vs single variable Alexander polynomial for links? MO 2018, 3 odp.
- 3 Links defined by link-severance tableau MO 2018, 1 odp.
- 3 Isotopy extension theorem: how non-unique is ambient isotopy MO 2018, 1 odp. ✓
- 3 Show that these circles are linked (their linking number is $\pm 1$) MSE 2018, 1 odp. ✓
- 3 What's a completely computational/syntactical model for handle decompositions of manifolds? MO 2018, bez odp.
- 3 how to discretize gauss linking number integral to use in polymer simulations with finite number of monomers? MSE 2018, bez odp.
- 3 Version of Khovanov homology that does not produce torsion? MO 2018, 1 odp.
- 3 When does a smooth ambient isotopy of knots fail to be an immersion? MSE 2018, bez odp.
- 3 Alternating and Non-Altenating Knot projections with same crossing number? MSE 2018, 1 odp. ✓
- 3 Does Seifert's algorithm produce Seifert surfaces with minimal genus? MSE 2018, 1 odp. ✓
- 3 Can a knot diagram be recovered from this data? MSE 2018, 1 odp. ✓
- 3 Minimum required crossings in a link diagram for a $k$-component Brunnian link MO 2018, 2 odp.
- 3 Example of a non-extendable TQFT? MO 2018, bez odp.
- 3 Reading course on knot theory MSE 2018, 1 odp. ✓
- 3 Integer homology sphere as subsequent surgery on integer homology spheres MSE 2017, 3 odp. ✓
- 3 Classifying links with essential annuli in the complement as torus links MO 2017, 1 odp. ✓
- 3 Ropelength of tight knot MSE 2017, 1 odp. ✓
- 3 Lutz twist and open book decompositions MO 2017, bez odp.
- 3 References for the Linking number in terms of the cup product. MSE 2017, bez odp.
- 3 How to find an invariant of the knot puzzle game? MSE 2017, 1 odp.
- 3 Does there exist a limit of (infinite) iterated universal abelian covers of a knot group? MO 2017, 1 odp. ✓
- 3 Word Presentation of Fundamental Group of Trefoil Knot Complement MSE 2017, 1 odp. ✓
- 3 hyperbolic 3-manifold of finite volume MO 2017, 2 odp. ✓
- 3 Uniqueness of branched covers of knots MSE 2017, 1 odp. ✓
- 3 What is known about the image of the Jones polynomial functor (in particular on the class of all knots)? MSE 2017, bez odp.
- 3 Are slice disks with the same boundary isotopic? MSE 2017, 1 odp. ✓
- 3 The Alexander Polynomial of a Knotted Trivalent Graph MSE 2017, 1 odp.
- 3 How does the topology of the graphs' Riemann surface relate to its knot representation? MO 2017, bez odp.
- 3 A question about so-called "Brunnian Links" or "Brunnian Rings" MO 2017, bez odp.
- 3 Non-Equivalent knots which are indistinguishable by colourings MSE 2017, 2 odp.
- 3 Reverse knot and reflection MSE 2017, 1 odp. ✓
- 3 Equivalent knots have same Alexander polynomial MSE 2017, 2 odp. ✓
- 3 Linking number a complete invariant of link homotopy MO 2017, 1 odp. ✓
- 3 Seifert matrix for the unknot MSE 2017, bez odp.
- 3 What is $X_\infty$ for a topological space $X$? MSE 2017, 1 odp. ✓
- 3 Existence of tunnel systems in 3-manifolds MSE 2017, bez odp.
- 3 The singularity type of a non-torus link MO 2017, 1 odp. ✓
- 3 Are the following two links isomorphic? MSE 2017, 4 odp. ✓
- 3 How does the one-point compactification affect the fundamental group of the complement of a knot? MSE 2017, 1 odp.
- 3 Find the metric around a trefoil singularity MSE 2017, bez odp.
- 3 Going between Heegaard diagrams and framed link diagrams MSE 2017, 1 odp. ✓
- 3 Number of possible 'chains' made from $n$ rings MSE 2017, bez odp.
- 3 Changing the black/white in the checkerboard for the Goeritz matrix MSE 2017, bez odp.
- 3 Connected sum of submanifolds MSE 2017, 1 odp.
- 3 Can all knots be put as a series of over-under-over-under crossings? MSE 2016, 1 odp.
- 3 Certain flow on space of lattices in $\mathbb C$ MO 2016, 1 odp.
- 3 Morse theory of knot complements MSE 2016, bez odp.
- 3 Homfly polynomial for the Hopf Link MSE 2016, 1 odp. ✓
- 3 Shortest triangle strip knot MSE 2016, 1 odp.
- 3 Partial information decomposition for tangle machines MO 2016, bez odp.
- 3 A link of four 2-tori $T^2$ in $S^3 \times S^1 \# S^2 \times S^2 \# S^2 \times S^2$ MO 2016, bez odp.
- 3 Coloring Snarks MO 2016, bez odp.
- 3 Are all quartic graphs represented as flat knots? MSE 2016, 1 odp. ✓
- 3 Prerequisites for Khovanov Homology MSE 2016, bez odp.
- 3 Linking Number $0$ When One Knot is a Boundary MSE 2016, 1 odp. ✓
- 3 Introduction to subfactor theory MSE 2016, 1 odp.
- 3 A simple question about Jones polynomial MSE 2016, 1 odp. ✓
- 3 base point in Heegaard Floer homology MO 2016, 2 odp.
- 3 Homology group of $CP^n$ and $\mathbb{R}P^n$ MSE 2016, 1 odp.
- 3 Morse function on slicing disk complement determines ribbon? MO 2016, 1 odp.
- 3 The isotopy type of the $Pretzel$ three strand knot $ P(a,b,c) $ MSE 2016, 1 odp. ✓
- 3 Potential proof for the Slice-Ribbon conjecture (may be wrong). MSE 2016, 1 odp. ✓
- 3 Knot invariants with skein relation of order 3 or 4 MO 2016, 4 odp.
- 3 The Crossing Number of a family of graphs which contain the complete bipartite graphs. MSE 2016, bez odp.
- 3 Prerequisites for Kirby Calculus? MSE 2016, 2 odp. ✓
- 3 Linking circles inside an immersed surface MO 2016, bez odp.
- 3 Planar Graph Isomorphism MSE 2015, 1 odp.
- 3 How to draw the knot 2, -32, 41? MSE 2015, bez odp.
- 3 Alexander polynomial of unknot without Fox calculus or infinite cyclic cover MSE 2015, 1 odp. ✓
- 3 Knot invariants that discern prime and composite knots. MSE 2015, 1 odp.
- 3 Equivalence (or not) of two Artin/Fox wild arcs MO 2015, bez odp.
- 3 Remove one ring of Borromean rings in 3-sphere: linked or unlinked? MSE 2015, 2 odp.
- 3 Surgery to unlink $S^p$ and $S^q$ in $S^d$ MO 2015, bez odp.
- 3 1-surgery on the figure-eight knot: reference request MSE 2015, 1 odp. ✓
- 3 Are there enough knots to cover $\mathbb{R}^3$? MSE 2015, bez odp.
- 3 Blanchfield pairing: knot exterior versus $0$-framed surgery MO 2015, 1 odp. ✓
- 3 Chern-Simons invariants of 2-bridge knots MO 2015, 1 odp. ✓
- 3 Is the Ambient Isotopy relation (for embeddings) symmetric? MSE 2015, 1 odp. ✓
- 3 Generators of the braid group MSE 2015, bez odp.
- 3 Self-diffeomorphisms of fibered knot complements MO 2015, bez odp.
- 3 Zeros of vector field extended from field lines MSE 2015, bez odp.
- 3 if a circle is deformation retract of a manifold; then is there a knot deformation retract to an embedded M in 3-space MSE 2015, bez odp.
- 3 math in horseshoe puzzle MSE 2015, 1 odp.
- 3 Is there any knot showing infinitely many crossings? MSE 2015, 1 odp. ✓
- 3 Component-wise connected sum of links MSE 2014, 1 odp. ✓
- 3 Does knot Floer homology detect knot genus in rational homology spheres? MO 2014, 1 odp. ✓
- 3 Burau representation and the Jones polynomial MSE 2014, 1 odp.
- 3 Representations of knot groups MSE 2014, 1 odp.
- 3 Trapping a sphere in a trefoil knot MSE 2014, 2 odp.
- 3 Definition of the dual spider number and the formula for the first chern class of the triangle MO 2014, bez odp.
- 3 Quandle colorings under Reidemeister moves MO 2014, 1 odp.
- 3 How to get a Kirby diagram of $S^1 \times M^3$ if $M^3$ is given by a surgery diagram? MSE 2014, bez odp.
- 3 Is there some knot theory behind the Mobius donut? MSE 2014, 2 odp.
- 3 Legendrian isotopy MSE 2014, 1 odp.
- 3 is knot type invariant under diffeomorphism? MSE 2014, 2 odp.
- 3 How many ways are there of tying a tie? MSE 2014, 1 odp.
- 3 two interlocked circles are homeomorphic to two noninterlocked circles MSE 2014, 1 odp. ✓
- 3 How to distinguish between knots and links based on knot diagrams/projections MSE 2014, 1 odp.
- 3 third quandle homology group $H_3^Q(R_3;\mathbb{Z}) \cong \mathbb{Z}_3$ MSE 2014, bez odp.
- 3 Parity of knot signatures MO 2014, 1 odp. ✓
- 3 Tait conjectures for alternating w-links MO 2014, 1 odp.
- 3 Actual Definition of the term: Hopf Band? MSE 2014, bez odp.
- 3 Why is surgery along a framed link well defined? MSE 2014, bez odp.
- 3 Proof that knot genus is a knot invariant MSE 2014, 1 odp. ✓
- 3 Crossing bound implies Reidemeister move bound? MSE 2014, bez odp.
- 3 Seifert surfaces in Riemannian manifolds? MSE 2014, bez odp.
- 3 the knot surgery - from a $6^3_2$ knot to a $3_1$ trefoil knot MSE 2014, 2 odp.
- 3 Is a knot $K$ and it's mirror image $^*K$ considered the same knot in terms of tabulating prime knots? If so, why? MSE 2014, 1 odp. ✓
- 3 Trivialization of the normal bundle of a knot MSE 2014, 1 odp. ✓
- 3 Bridge Number , Knot Theory MSE 2014, 1 odp.
- 3 Handlebody decomposition of a 3-manifold adapted to a link MO 2014, 2 odp. ✓
- 3 Why can't I tie a infinite rope in hard knots? MSE 2014, bez odp.
- 3 Knot Theory: Calculating the Alexander Polynomial MSE 2014, 1 odp. ✓
- 3 Unknotting number formally? MSE 2013, 1 odp.
- 3 Conway polynomial of the unknot MSE 2013, bez odp.
- 3 Legendrian Isotopy of Knots can be extended to an ambient Contact Isotopy MSE 2013, bez odp.
- 3 Find the fundamental group and the Alexander polynomial MSE 2013, bez odp.
- 3 More questions about high-dimensional knot invariants MO 2013, bez odp.
- 3 On the definition of Fox derivative MSE 2013, bez odp.
- 3 The knot group of a prime knot MO 2013, 1 odp. ✓
- 3 A name for the inverse image of the center of a quotient group? MO 2013, 2 odp.
- 3 Software to calculate Alexander polynomials MSE 2013, 3 odp.
- 3 Prove that $S^{1}$ unknots in $\mathbb{R}^{4}$ MSE 2013, bez odp.
- 3 How to compute the Alexander polynomial of general torus knot MO 2013, 2 odp.
- 3 Oriented Reidemeister move R2d by splices and loop adding/erasing? MO 2013, 2 odp.
- 3 some help on the group of unknotted MSE 2013, bez odp.
- 3 Chessboard coloring of a knot MSE 2013, 1 odp.
- 3 Untieable knotted surfaces MSE 2013, 1 odp.
- 3 Differential characterization of unknots MSE 2013, 3 odp. ✓
- 3 How is PL knot theory related to smooth knot theory? MSE 2013, 1 odp.
- 3 Classify knots in a closed bead-spring like polymer simulation MSE 2013, bez odp.
- 3 Dehn presentation proof reference request MSE 2012, 1 odp.
- 3 Linking integral unchanged over continuous deformations MSE 2012, bez odp.
- 3 The definition of a knot MSE 2012, 1 odp.
- 3 Computational complexity of unknotting problem? MSE 2012, 1 odp. ✓
- 3 A question on (1,1) bridge Knot MO 2012, 2 odp. ✓
- 3 A degree of an arbitrary polynomial knot MO 2012, 1 odp.
- 3 L(q,p)# L(p,q) = surgery on pq-torus knot complement MSE 2012, 1 odp.
- 3 Decorations in Szabo's combinatorial spectral sequence MO 2012, 1 odp.
- 3 Unknotting number and crossing number MO 2012, 1 odp. ✓
- 3 Application of a quandle cocycle invariant for virtual knots MO 2012, 1 odp. ✓
- 3 On expressions of colored Jones polynomials MO 2012, 1 odp. ✓
- 3 Framings in the definition of Reshetikhin-Turaev TQFT MO 2012, 1 odp. ✓
- 3 Min Bend Orthogonal Knots MO 2012, 1 odp. ✓
- 3 Remove links by Kirby moves MSE 2012, 1 odp. ✓
- 3 Computing an Invariant for Knots via Braid Words? MO 2012, 1 odp.
- 3 Surgery, framing and Dehn twist MSE 2012, 1 odp.
- 3 A kind of foliation on figure eight knot complement MO 2012, 1 odp.
- 3 If a strip of paper is knotted into an open trefoil, what is the linking number? MSE 2012, 1 odp.
- 3 Knot symmetries and the Alexander polynomial MO 2012, 1 odp. ✓
- 3 Number of knots possible with length L string MSE 2012, 1 odp.
- 3 a special type of 2 component link complement MO 2011, 1 odp. ✓
- 3 Knot polynomials of non-crystallographic Coxeter groups? MO 2011, bez odp.
- 3 First cohomology of the space of long knots in ℝ⁴ MO 2011, 1 odp. ✓
- 3 Graphical-entry knot theory program for Mac? MSE 2011, 2 odp. ✓
- 3 Untangling a graph MO 2011, 2 odp.
- 3 Is it possible to reliably generate a particular approximation of an ideal knot via a simulated annealing approach? MO 2011, 2 odp. ✓
- 3 Kirby-like diagrams for $M^n$ when $n > 4$ MSE 2011, 1 odp. ✓
- 3 Invariants of unframed, oriented links from Reshetikhin Turaev construction MO 2011, 1 odp. ✓
- 3 A tangle matrix MO 2011, bez odp.
- 3 A question about Dehn filling in the unknot. MO 2011, 1 odp. ✓
- 3 What if I change field in a Topological Quantum Field Theory? MO 2011, 1 odp.
- 3 Construction of Kirby-diagram for slice-complement MO 2011, 2 odp.
- 3 Which knots can appear as a space-time cut/slice of an open trefoil? MO 2011, 2 odp. ✓
- 3 Can a closed trefoil appear as a space-time "cut" of an open trefoil? MO 2011, 1 odp. ✓
- 3 Homology boundary links MO 2010, 1 odp. ✓
- 3 Computing Quantum Dimensions MO 2010, bez odp.
- 3 Which quandles arise as knot quandles MO 2010, bez odp.
- 3 Discriminant locus in knot space MO 2010, 2 odp. ✓
- 3 Is a positive link the closure of a positive braid? MO 2010, 1 odp. ✓
- 3 Is the Hopf link a Brunnian link? MO 2010, 1 odp. ✓
- 3 What can one do with randomly generated parameterized knots in 3 space? MO 2010, 2 odp. ✓
- 3 SU(2) representations of alternating knot groups MO 2010, 2 odp. ✓
- 2 Unknotting number of the Whitehead link MSE 2026, bez odp.
- 2 Trivial knots and Schönflies theorem MSE 2026, bez odp.
- 2 Morse functions on singular fibrations of knot spaces MO 2026, bez odp.
- 2 Is there a computable quandle whose left multiplication group is not computable? MO 2026, bez odp.
- 2 Isotopy to achieve finite intersections MO 2026, bez odp.
- 2 A variant to the Cerf-Stasiak formula (Thurston variant) MO 2026, bez odp.
- 2 Can one generalize torus $p,q$ knot when $p,q$ are non integer? MO 2026, bez odp.
- 2 On Ozsváth's and Szabó's description of Abel-Jacobi theorem MO 2025, bez odp.
- 2 Quandle colorings under connected sum MO 2025, 1 odp.
- 2 Topology Now! Unknot VS Trefoil Confusion MSE 2025, 1 odp. ✓
- 2 Sufficient condition for destabilizing a Heegaard diagram MO 2025, bez odp.
- 2 Isotopy extension with fixed submanifold and well-definedness of connected sum of knots MSE 2025, bez odp.
- 2 Resources detailing the relationship between Khovanov homology and Knot Floer homology MSE 2025, 1 odp.
- 2 Given a knot, what's the minimal $g$ such that the knot is the transverse intersection of two genus-$g$ closed orientable surfaces in $S^3$? MSE 2025, 1 odp. ✓
- 2 Why is the first homology group of the knot complement is a finitely generated abelian group? MSE 2025, 2 odp. ✓
- 2 Does the linking number change under diffeomorphism? MSE 2025, bez odp.
- 2 Connected sum with the fixed knot: injectivity of action MO 2025, 1 odp.
- 2 Kauffman bracket of a knot sum MSE 2025, 3 odp. ✓
- 2 How is the 2-handle attaching circle in $D^4-\nu F$ determined from the 1-handle of $F$? MSE 2025, bez odp.
- 2 How to obtain a particular oriented Reidemeister move MSE 2025, 1 odp. ✓
- 2 What unifies these matrix constructions of graph/knot invariants? MSE 2025, bez odp.
- 2 "Incomplete" resolutions in Khovanov homology and meaning of modulo $x_{\gamma}^2=0$ MO 2025, bez odp.
- 2 mod 2 homology equals rational homology? MSE 2025, 1 odp. ✓
- 2 Tubular neighborhood of knot $K$, implies existence of PL $\varepsilon$-approximation $K'$ ambient isotopic to $K$ for all $\varepsilon > 0$. MSE 2025, bez odp.
- 2 Virtual knots as knots in thickened surfaces: lifting virtual crossings MSE 2025, 1 odp.
- 2 How are interior-edge strings handled in Kauffman’s Formal Knot Theory? MSE 2025, bez odp.
- 2 Self-linking number of a transverse knot MSE 2025, bez odp.
- 2 An exercise in Lickorish's book MO 2025, bez odp.
- 2 Trivial quandle covers MO 2025, 1 odp.
- 2 Signature of torus links and quasi-orientations MO 2025, 1 odp.
- 2 Kirby diagrams for tom Dieck-Petrie surfaces MO 2025, bez odp.
- 2 Is there a medial quandle for which the relation $\sim$ defined by $a\sim b$ iff $a\ast b=a$ is not an equivalence relation? MSE 2024, 1 odp.
- 2 Uniform metric implies homeomorphic to $3$-sphere? MSE 2024, 1 odp.
- 2 What methods can be used to distinguish the Kinoshita-Terasaka knot from the Conway knot? MSE 2024, 1 odp. ✓
- 2 Blackboard framing for embedded surfaces MO 2024, bez odp.
- 2 Show that any two embeddings $f, g : S^1 \rightarrow \mathbb R^4$ are homotopic through smooth embeddings. MSE 2024, bez odp.
- 2 Exercise in "Grid Homology for Knots and Links" MSE 2024, bez odp.
- 2 Example where rotation number of Legendrian knot depends on choice of Seifert surface MSE 2024, 1 odp. ✓
- 2 Numerical computation of the second Vassiliev invariant, and the permutation $(1 3 4 2)$ MO 2024, 1 odp. ✓
- 2 Power series expansions and limits of knot invariants MO 2024, bez odp.
- 2 A 4-dimensional 3-handle attachment to $S^2 \times D^2$ to get $D^4$. MSE 2024, 1 odp.
- 2 Different statements about the peripheral system as a complete knot invariant MSE 2024, 1 odp.
- 2 Does a torus knot give a Seifert fibering of the 3-sphere? MSE 2024, 1 odp. ✓
- 2 Solving the unknotting problem by pulling both ends of the string MO 2024, 3 odp. ✓
- 2 Why $\pm 1$ surgery on homology sphere again yeilds homology sphere? MSE 2024, bez odp.
- 2 Mutants or not? MO 2024, bez odp.
- 2 A cell complex constructed from singular knots MO 2024, bez odp.
- 2 Connection between different ways to calculate the knot determinant MSE 2024, bez odp.
- 2 Reshetikhin-Turaev invariants from extended 3d TQFTs MO 2024, bez odp.
- 2 Deducing inequality from exact triangle in Heegaard Floer homology MSE 2024, 1 odp.
- 2 Is every non-intersecting closed loop about the origin with winding number 1 ambient $\mathbb{R}^{2}$-isotopic to the unknot? MSE 2024, 1 odp. ✓
- 2 References needed for Dehn surgery and Kirby calculus MSE 2023, 1 odp.
- 2 2-bridge knot with straightened strand MSE 2023, 1 odp. ✓
- 2 Triquetra proportions and Golden Mean? MSE 2023, 1 odp.
- 2 Knot invariants in WZW CFT via Holographic Principle MO 2023, bez odp.
- 2 Examples of counting holomorphic curves in cylindrical reformulation of Heegaard Floer MO 2023, bez odp.
- 2 Almost all knots are non invertible MSE 2023, bez odp.
- 2 Homotopy type of a 3-manifold produced via Dehn surgery? MO 2023, bez odp.
- 2 Computing Floer homology of knots, going from graph to homology (following Manolescu's high-school level slides) MSE 2023, bez odp.
- 2 Acyclic complex in Khovanov homology MSE 2023, bez odp.
- 2 Jones polynomials of alternating knots MSE 2023, 1 odp. ✓
- 2 English version of a paper by Gusarov MO 2023, 1 odp. ✓
- 2 Wrapping a suitcase with large rotational symmetry MO 2023, 1 odp. ✓
- 2 Naturality of ribbon category twists MO 2023, bez odp.
- 2 Space of the trivial long knot in the thickened surface MO 2023, 1 odp.
- 2 How to recognize a knot, practically? MSE 2023, 1 odp. ✓
- 2 Can distinct meridians commute in a knot group? MO 2023, bez odp.
- 2 How does KnotInfo classify knots based on DT Code? MSE 2023, bez odp.
- 2 References for algorithms for computing knot invariants MO 2023, 1 odp.
- 2 Can framings on plumbed manifolds be taken to be even? MSE 2023, bez odp.
- 2 Fast determinant of an Alexander matrix MSE 2023, 1 odp. ✓
- 2 Jones polynomial of the left-handed Trefoil knot - which crossing for skein relation L_0? MSE 2023, 1 odp. ✓
- 2 Is it possible to model a rope that splits and then joins again as a knot or link? MSE 2023, bez odp.
- 2 How to do an oriented resolution of a crossing in a PD-code of a knot MSE 2023, 1 odp. ✓
- 2 Corollary in Rasmussen's paper about $s$-grading of Lee's canonical generators MO 2023, 1 odp. ✓
- 2 Evaluating the Gauss linking integral of a Hopf link directly MSE 2023, bez odp.
- 2 Equivalent embeddings vs equivalent subsets MSE 2023, 1 odp. ✓
- 2 Are there general methods for classifying isotopies between two given embeddings? MSE 2023, bez odp.
- 2 Cubic lattice representation of a solid torus knot using the surface as a boundary MO 2023, bez odp.
- 2 Topology of Cusps and Nodes MSE 2023, bez odp.
- 2 Composition of 3-braids to obtain braids with trivial closure MO 2023, bez odp.
- 2 Are there infinite number of 3-braids with trivial closure? MO 2023, 1 odp. ✓
- 2 What applications could knot theory have for probability and statistics. MSE 2022, bez odp.
- 2 Bing Sling Isotopic to the Unknot MSE 2022, bez odp.
- 2 Every tame knot is isotopic to the unknot. MSE 2022, 1 odp.
- 2 Khovanov $A_\infty$ algebra MO 2022, bez odp.
- 2 Figure-Eight Knot Complements in $S^3$ MSE 2022, bez odp.
- 2 Knot concordance, hyperbolicity and amphichirality MO 2022, 1 odp. ✓
- 2 If $L=L_1\#L_2$ is a positive link, are $L_1$ and $L_2$ also positive links? What about adequateness? MSE 2022, bez odp.
- 2 Which hyperbolic fibered knots have monodromy with a single singularity? MO 2022, 1 odp. ✓
- 2 Peripheral system of a knot with a given longitude MSE 2022, 1 odp. ✓
- 2 Determine if a closed braid is a link/unlink MO 2022, 1 odp. ✓
- 2 Torsion in the theory of Vassiliev (finite type) invariants MSE 2022, bez odp.
- 2 Classification of congruent integer matrices MO 2022, 1 odp. ✓
- 2 Is there an algorithm to translate Dowker-Thistlethwaite notation into braid notation? MSE 2022, 2 odp. ✓
- 2 Alexander polynomial and orientation MSE 2022, 1 odp. ✓
- 2 $\mathbb{R}^3$ and $S^3$ in the Definition of a Knot MSE 2022, 1 odp. ✓
- 2 Are torus links prime? MSE 2022, 1 odp. ✓
- 2 A definition of linking number for knots in $S^3$ using chains in $D^4$ MO 2022, 1 odp. ✓
- 2 0-framed smoothly slice knot that can be obtained by blowing down successively a link of unknots MO 2022, 1 odp. ✓
- 2 Obstruction Theory in Seifert Surfaces MSE 2022, bez odp.
- 2 Can a rational Seifert surface have n boundary components? MSE 2022, bez odp.
- 2 Riddle: how did Sossinsky code this left trefoil knot? MSE 2022, 1 odp. ✓
- 2 Isn't a continuous and injective application $f:S^1\to \mathbf{R}^3$ sufficient to define a knot? MSE 2022, 1 odp. ✓
- 2 algebraic intersection number and Poincare duality MSE 2022, bez odp.
- 2 Two knots $K$ and $K^\prime$ are equivalent if and only if their projections $P(K)$ and $P(K^\prime )$ are equivalent MSE 2022, 1 odp.
- 2 Ambient isotopic is equivalent to orientation-preserving homeomorphism MSE 2022, bez odp.
- 2 Non-orientable genus of Unknot and it's uniqueness MSE 2022, 1 odp. ✓
- 2 How to prove that braid index of a specific knot is at least 3? MSE 2022, 2 odp. ✓
- 1 Can four prescribed piercing points force a common circular transversal? MO 2026, bez odp.
- 1 Definition of a knot diagram MSE 2026, 1 odp. ✓
- 1 Unknotting for noncompact manifolds: standard definition? MO 2026, bez odp.
- 1 Formalizing the "orthogonal flow" in the deformation retraction of torus knot complements (Hatcher, Algebraic Topology, Example 1.25) MSE 2025, bez odp.
- 1 Existence of isomorphic group structure induced by two bijections MO 2025, bez odp.
- 1 Is there a knot that first takes off all slack rope then tightens itself? MSE 2025, bez odp.
- 1 Oriented cobordism between knots, direction MSE 2025, bez odp.
- 1 Does unknotting number correspond with the span of the Jones polynomial? MSE 2025, bez odp.
- 1 Which is more appropriate setup to prove the PC? MSE 2025, 1 odp. ✓
- 1 Is isotopy of embedded surfaces decidable? MSE 2025, bez odp.
- 1 How can I see that the Seifert surface is homeomorphic to a punctured torus? MSE 2025, 1 odp. ✓
- 1 Definition in the cobordism from a Heegard triple MO 2025, bez odp.
- 1 Which $n$-stick unknots necessarily have a zero crossing projection? MO 2025, 1 odp. ✓
- 1 Can knots classify embeddings of surfaces in $R^3$? MSE 2025, bez odp.
- 1 Surgery for a link MSE 2025, bez odp.
- 1 How to split discrete torus braids of size $k$ resulting from symmetric group $S_n$ action on $[n]$ MO 2025, bez odp.
- 1 Alexander and Jones polynomials of knots MSE 2025, bez odp.
- 1 Relations between knot 2-variable knot polynomials MO 2025, bez odp.
- 1 Clarification on Tait's Flyping conjecture MO 2025, bez odp.
- 1 Submanifolds in Kirby diagrams MO 2025, 1 odp.
- 1 Reference request for minimal-genus Seifert surfaces among all noncontractible curves in homology 3-spheres MSE 2025, bez odp.
- 1 Slam-dunk with non-integral coefficients along the knot component MSE 2025, 1 odp. ✓
- 1 Is it a difficult problem to determine if a knot is of the form $K \# K$? MSE 2025, bez odp.
- 1 why is it that flype moves don't affect the bracket polynomial? MSE 2025, bez odp.
- 1 Determinant of Symmetrized Seifert Matrix MSE 2024, bez odp.
- 1 The difference between Khovanov homology and Jones Polynomial for knots MSE 2024, 1 odp. ✓
- 1 When is a 2-bridge knot hyperbolic? MO 2024, 1 odp. ✓
- 1 Locally flat knot can be represented by a polygonal knot MSE 2024, bez odp.
- 1 Asymptotic growth of twisted alexander polynomials and hyperbolic volume for infinite families of knots MO 2024, bez odp.
- 1 Are total curvature and the unknoting number of closed orbits of algebraic vector fields bounded uniformly by the degree of vector field? MO 2024, bez odp.
- 1 Horizontal knots on 3 sphere MO 2024, 1 odp. ✓
- 1 Understanding Milnor $\bar{\mu}$-Invariants MSE 2024, bez odp.
- 1 Proving the Uniqueness of the Method for Reducing Rational Tangle-Numbers to Zero from Conway's Rational Tangle MSE 2024, 1 odp.
- 1 Power series expansions and limits of knot invariants MSE 2024, bez odp.
- 1 Characteristic class detecting "upward-facing" surfaces MSE 2024, bez odp.
- 1 Proving that an algebraic (aborescent) link that has exactly one negative sign in its Conway notation has an almost alternating projection MSE 2024, bez odp.
- 1 Show that a given procedure generates all rationals greater than 1 MSE 2024, bez odp.
- 1 Peripheral subgroup determined up to conjugation MSE 2024, bez odp.
- 1 When is Morton-Franks-Williams inequality for knots strict? MSE 2024, bez odp.
- 1 Omitting the last relation in the Wirtinger presentation of a link group MSE 2024, 1 odp.
- 1 Knot Theory: First Homology group of cyclic double cover of $S^3$ branched over a link L and nullity MSE 2024, 1 odp. ✓
- 1 Chirality and Colored Jones Polynomial MSE 2024, 1 odp.
- 1 A question in the proof of type $(p,q)$ torus knot and type $(q,p)$ torus knot are equivalent MSE 2023, 2 odp.
- 1 How to show this surface is compressible MSE 2023, 1 odp. ✓
- 1 Does the determinant of a Knot bound the number of primes for which the mod p rank is nonzero? MSE 2023, 2 odp. ✓
- 1 The degree of the Alexander polynomial is at most twice the genus. MSE 2023, 1 odp. ✓
- 1 $E(n)\# \mathbb{CP}^2=2n\mathbb{CP}^2\# (10n-1)\overline{\mathbb{CP}^2}$ MSE 2023, bez odp.
- 1 Prove that every knot diagram with two crossings is equivalent to the unknot. MSE 2023, 1 odp.
- 1 Higher dimensional Seifert surfaces and link numbers of higher knots MO 2023, bez odp.
- 1 How to understand the framing of a knot? MSE 2023, 1 odp.
- 1 Tied down chess pieces forming knots MSE 2023, bez odp.
- 1 Does every knot have a diagram such that every arc is a bridge? MSE 2023, bez odp.
- 1 Jones polynomial in Bar-Natan’s paper “On Khovanov’s Categorification of the Jones polynomial” MSE 2023, bez odp.
- 1 Do knots behave the same way if they are defined to have "endpoints at infinity"? MSE 2023, bez odp.
- 1 Determinant of Alexander Matrix for Torus Links MSE 2023, 2 odp. ✓
- 1 Algebraic sum of the transverse intersection points MSE 2023, 1 odp.
- 1 Natural candidates for energy function of knots in $S^3$? MSE 2023, bez odp.
- 1 How to generate tangles? MSE 2023, bez odp.
- 1 Ray Tracing In Mathematical Spaces MSE 2023, 1 odp. ✓
- 1 Is $K_1\# K_2$ isotopic to $K_1\#\overline{K_2}$? MSE 2023, 1 odp. ✓
- 1 Existence of normal crossing of knot diagram via Mather's stable mapping theory MSE 2023, bez odp.
- 1 Simplicial approximation of contractible homotopy in "Knots" (by Burde, Zieschang, Heusener) MSE 2023, bez odp.
- 1 Does the abelianization of the fundamental group of this knot-complement really $\mathbb{Z}$? MSE 2023, 1 odp. ✓
- 1 What is the minimal number of edges for a polygonal knot to be nontrivial? MSE 2023, bez odp.
- 1 Nomenclature for links of 2-bouquet homotopic class MSE 2023, 1 odp. ✓
- 1 Abelian covering of link complement MO 2023, 2 odp.
- 1 Whitehead double of a non-trivial knot is non-trivial MSE 2023, 1 odp. ✓
- 1 showing that the untwisted Whitehead double of a slice knot is slice MSE 2023, bez odp.
- 1 Reference for: projecting a knot on a generic plane yields a smooth oriented curve intersecting itself transversly at finitely many double points MSE 2023, bez odp.
- 1 "Higher" knot mutants MO 2023, bez odp.
- 1 Is there any calculation result for quandle homology group? MSE 2023, bez odp.
- 1 Ways to prove that $n$-component Brunnian link is nontrivial MO 2022, 1 odp.
- 1 What kind of mathematical knot is the square knot? MSE 2022, 1 odp. ✓
- 1 Picturing twisting of strands explicitly after blow downs MSE 2022, 1 odp. ✓
- 1 Confused About Seemingly Abnormal Use of ⇔ In Context of Reidemeister Moves MSE 2022, bez odp.
- 1 Sine wave on a trefoil knot MSE 2022, 2 odp. ✓
- 1 Figure-8 knot complement is homeomorphic to a quotient of $\mathbb H^3$ MSE 2022, bez odp.
- 1 Definition of homological longitude MSE 2022, 1 odp.
- 1 Which hyperbolic fibered knots have monodromy with a single singularity? MSE 2022, bez odp.
- 1 Tetravalent graph invariant: Vassiliev in disguise? MO 2022, bez odp.
- 1 What is the difference between a knot and a plane curve? MSE 2022, 1 odp. ✓
- 1 2-torus as 3-fold branched cover of the 2-sphere, branched at six points MSE 2022, bez odp.
- 1 Deformations that are continuous functions and knots MSE 2022, 1 odp. ✓
- 1 Is smooth deformation an extrinsic property of surfaces? MSE 2022, bez odp.
- 1 Alexander polynomial of the pretzel knot $P(2m+1,2n,2k+1)$ MO 2022, 1 odp. ✓
- 1 The position of complex points on the kiwi-graph of the Jones polynomial MO 2022, bez odp.
- 1 For every prime $p$, does there exist a knot $K$ such that $K$ is $p$-colourable? MSE 2022, 1 odp. ✓
- 1 Split link properties MSE 2022, bez odp.
- 1 The figure eight knot complement in $S^3$. MSE 2022, bez odp.
- 1 how did they come up with polynomials as knot invariant MSE 2022, 2 odp. ✓
- 1 fundamental class of the boundary of a knot complement MSE 2022, 1 odp. ✓
- 1 Seifert surface with components MSE 2022, bez odp.
- 1 Why is the number of components in the torus link $T_{p,q}$ equal to $\gcd(p,q)$? MSE 2022, 1 odp. ✓
- 1 Proving the inequality in the Fáry-Milnor Theorem is strict MSE 2022, 1 odp.
- 1 Construction of infinite cyclic cover of knot exterior using seifert surface MSE 2022, 1 odp.
- 1 A null-homologous knot in the solid torus MSE 2022, bez odp.
- 1 What should I learn to understand Piccirillo's solution of Conway Knot? MSE 2022, 1 odp.
- 1 Why is Conway notation relevant, instead of braid notation (for knots) MSE 2022, bez odp.
- 1 Explicit form of element in a link group MSE 2022, 1 odp. ✓
- 1 Genus zero links MSE 2022, bez odp.
- 1 What is the bilinear intersection form of real homology of 4-manifold? MSE 2022, 1 odp.
- 1 Reference request for proof of Tait conjectures MSE 2022, bez odp.
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