Knot Atlas
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Related Items (only showing first 100 items - show all)
The \(C\)-polynomial of a knot ⋮ A formula for the HOMFLY polynomial of rational links ⋮ Knots with equal bridge index and braid index ⋮ A new polynomial criterion for periodic knots ⋮ On Khovanov Homology and Related Invariants ⋮ Prime component-preservingly amphicheiral link with odd minimal crossing number ⋮ Quotient quandles and the fundamental Latin Alexander quandle ⋮ Parity biquandle invariants of virtual knots ⋮ HOMFLY polynomials in representation \([3, 1\) for 3-strand braids] ⋮ Factorization of differential expansion for antiparallel double-braid knots ⋮ Inequality on $t_\nu (K)$ defined by Livingston and Naik and its applications ⋮ Sequencing BPS spectra ⋮ Big data approaches to knot theory: Understanding the structure of the Jones polynomial ⋮ Nullification numbers of knots with up to 10 crossings ⋮ Colored HOMFLY polynomials for the pretzel knots and links ⋮ Colored HOMFLY polynomials of knots presented as double fat diagrams ⋮ The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ The colored Jones function is \(q\)-holonomic ⋮ Knotted fields and explicit fibrations for lemniscate knots ⋮ 2-Adjacency between some special links and pretzel links ⋮ Models of random knots ⋮ Slopes of links and signature formulas ⋮ Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds ⋮ Irreducibility of \(q\)-difference operators and the knot \(7_{4}\) ⋮ Khovanov homology and the slice genus ⋮ On the chirality of torus curves and knots ⋮ Constructing a polynomial whose nodal set is the three-twist knot 52 ⋮ A remarkable 20-crossing tangle ⋮ Triple-crossing projections, moves on knots and links and their minimal diagrams ⋮ The Jones slopes of a knot ⋮ Tribracket Modules ⋮ \(N\)-degeneracy in rack homology and link invariants ⋮ Checks of integrality properties in topological strings ⋮ On meridian-traceless \(\mathrm{SU}(2)\)-representations of link groups ⋮ Real algebraic links in S3 and braid group actions on the set of n-adic integers ⋮ Torsion calculations in Khovanov cohomology ⋮ Rack module enhancements of counting invariants ⋮ Towards formalization of the soliton counting technique for the Khovanov–Rozansky invariants in the deformed ℛ-matrix approach ⋮ The signature of rational links ⋮ Algebraic Gordian distance ⋮ Virtual tribrackets ⋮ Cabling procedure for the colored HOMFLY polynomials ⋮ Quandle coloring quivers ⋮ Transverse invariants from Khovanov-type homologies ⋮ Translocation of links through a pore: effects of link complexity and size ⋮ Quantum enhancements via tribracket brackets ⋮ A refinement of Rasmussen's \({s}\)-invariant ⋮ On knot 2-adjacency ⋮ Raising crosscap number while lowering unknotting number ⋮ Tabulation of Prime Projections of Links in the Thickened Surface of Genus 2 with no more than 4 Crossings ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ Recurrent sequences of polynomials in three-dimensional topology ⋮ Parity biquandle ⋮ Strict achirality of prime links up to 11-crossing ⋮ Homological thickness and stability of torus knots ⋮ Knots with identical Khovanov homology ⋮ Flag algebras and the stable coefficients of the Jones polynomial ⋮ Mutant knots and intersection graphs ⋮ Boltzmann enhancements of biquasile counting invariants ⋮ Search for Torsion in Khovanov Homology ⋮ An introduction to quantum and Vassiliev knot invariants ⋮ Virtual links with finite medial bikei ⋮ Mirror-curves and knot mosaics ⋮ Ozsváth-Szabó and Rasmussen invariants of doubled knots ⋮ Alternating knots, planar graphs, and \(q\)-series ⋮ Enhancements of rack counting invariants via dynamical cocycles ⋮ Mutation invariance of Khovanov homology over \(\mathbb F_{2}\) ⋮ The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences ⋮ Integral lattices in TQFT ⋮ Homotopy type of circle graph complexes motivated by extreme Khovanov homology ⋮ The graded count of quasi-trees is not a knot invariant ⋮ Unnamed Item ⋮ Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links ⋮ A Bennequin-type inequality and combinatorial bounds ⋮ HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations ⋮ Super-A-polynomials for twist knots ⋮ Tangle blocks in the theory of link invariants ⋮ Geometric realization of the almost-extreme Khovanov homology of semiadequate links ⋮ Khovanov homology of torus links ⋮ Homological invariants of links in a thickened surface ⋮ Biquandle virtual brackets ⋮ A new two-variable generalization of the Jones polynomial ⋮ Quandle Module Quivers ⋮ Unknotting and maximum unknotting numbers ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure ⋮ Symmetric Unions Without Cosmetic Crossing Changes ⋮ 2-Adjacency between some special knots and pretzel knot ⋮ Quantum knot invariants ⋮ The 𝑆𝐿₃ colored Jones polynomial of the trefoil ⋮ Unoriented Khovanov homology ⋮ Unnamed Item ⋮ Twisting q-holonomic sequences by complex roots of unity ⋮ The coefficients of the HOMFLY polynomials of links ⋮ Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid ⋮ Unnamed Item ⋮ On the maximal degree of the Khovanov homology ⋮ A new obstruction of quasialternating links ⋮ The Conway polynomial and amphicheiral knots ⋮ Quantum enhancements and biquandle brackets ⋮ Computing fundamental groups from point clouds
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