State models and the Jones polynomial
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Publication:1090975
DOI10.1016/0040-9383(87)90009-7zbMath0622.57004OpenAlexW2137459590WikidataQ56456439 ScholiaQ56456439MaRDI QIDQ1090975
Publication date: 1987
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(87)90009-7
alternating knotstate modelsamphichiralJones polynomial of a linksimple alternating projectiontopological invariance of the number of crossings
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Bounds on arc index, On the Number of Unknot Diagrams, Concordance invariants of doubled knots and blowing up, Topological quantum information, virtual Jones polynomials and Khovanov homology, The BQP-hardness of approximating the Jones polynomial, QUANTUM TEICHMÜLLER SPACES AND QUANTUM TRACE MAP, Graph polynomials and link invariants as positive type functions on Thompson’s group F, A homology theory for a special family of semi-groups, Verification of the Jones unknot conjecture up to 22 crossings, Checkerboard framings and states of virtual link diagrams, Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs, Twist regions and coefficients stability of the colored Jones polynomial, Crosscap number of knots and volume bounds, ON POWERS OF HALF-TWISTS IN M(0, 2n), K-theory of AF-algebras from braided C*-tensor categories, Generalizations of the Kauffman polynomial for knotsin the thickened surface of genus 2, Slice‐torus link invariants, combinatorial invariants and positivity conditions, Virtual and arrow Temperley–Lieb algebras, Markov traces, and virtual link invariants, ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS, GENERA OF THE LINKS DERIVED FROM 2-CONNECTED PLANE GRAPHS, Closed, oriented, connected 3-manifolds are subtle equivalence classes of plane graphs, A NOTE ON AMPHICHEIRAL ALTERNATING LINKS, Search for Torsion in Khovanov Homology, INTRODUCTION TO VIRTUAL KNOT THEORY, Shaded tangles for the design and verification of quantum circuits, Knot polynomials of open and closed curves, EIGENVALUE HYPOTHESIS FOR RACAH MATRICES AND HOMFLY POLYNOMIALS FOR 3-STRAND KNOTS IN ANY SYMMETRIC AND ANTISYMMETRIC REPRESENTATIONS, THE ADDITIVITY OF CROSSING NUMBERS, THE COMPUTATION OF THE NON-COMMUTATIVE GENERALIZATION OF THE A-POLYNOMIAL OF THE FIGURE-EIGHT KNOT, TRIPLE CROSSING NUMBER OF KNOTS AND LINKS, Tangles, Rational Knots and DNA, NODAL PARITY INVARIANTS OF KNOTTED RIGID VERTEX GRAPHS, ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS, VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL, ON TOPOLOGICAL CORRELATIONS IN TRIVIAL KNOTS: FROM BROWNIAN BRIDGES TO CRUMPLED GLOBULES, A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR, ORIENTED STATE MODEL OF THE JONES POLYNOMIAL AND ITS CONNECTION TO THE DICHROMATIC POLYNOMIAL, A geometric proof that alternating knots are non-trivial, New points of view in knot theory, Cyclic coverings of virtual link diagrams, Unnamed Item, Alternation numbers of torus knots with small braid index, On the Kauffman Bracket Skein module of the 3-torus, Locality and the uniqueness of quantum invariants, Logarithmic minimal models, New skein invariants of links, A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials, Unoriented knot polynomials of torus links as Fibonacci-type polynomials, Stability properties of the colored Jones polynomial, New presentations of a link and virtual link, The Grothendieck group of a tower of the Temperley–Lieb algebras, Unknotting operations on knots and links, The Chord Index, its Definitions, Applications, and Generalizations, Polynomial invariants, knot homologies, and higher twist numbers of weaving knots W(3,n), Quotients of the Gordian and H(2)-Gordian graphs, Infinite families of hyperbolic 3‐manifolds with finite‐dimensional skein modules, Kauffman bracket skein module of the connected sum of handlebodies and non-injectivity, Circuit Partitions and the Homfly Polynomial of Closed Braids, Tight conformation of 2-bridge knots using superhelices, Sandwich semigroups in diagram categories, A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots, The one-row-colored 𝔰𝔩3 Jones polynomials for pretzel links, An invariant of regular isotopy for disoriented links, Congruence Lattices of Ideals in Categories and (Partial) Semigroups, Knots, matroids and the Ising model, JONES POLYNOMIAL INVARIANTS, NON-TRIVIALITY OF GENERALIZED ALTERNATING KNOTS, Folded ribbonlength of 2-bridge knots, The combinatorics of supertorus sheaf cohomology, Subfactors and mathematical physics, Combinatorial knot theory and the Jones polynomial, The partial Temperley-Lieb algebra and its representations, Jones type \(\mathrm{C}^\ast\)-basic construction in non-equilibrium Hopf spin models, Categorical lifting of the Jones polynomial: a survey, The Jones polynomial, Knots, diagrams, and categories, Chern-Simons theory and knot invariants, Connectomes and properties of quantum entanglement, Yamada polynomial and associated link of \(\theta \)-curves, Integrable models from singly generated planar algebras, Mini-workshop: Quantization of complex symplectic varieties. Abstracts from the mini-workshop held October 2--8, 2022, The Jones polynomial from a Goeritz matrix, Ribbon knots with different symmetric union presentations, Lipschitz geometry of surface germs in \(\mathbb{R}^4\): metric knots, Residual torsion-free nilpotence, biorderability and pretzel knots, A quantum invariant of links in \(T^2\times I\) with volume conjecture behavior, Topological quantum computation is hyperbolic, Catégorification et méthode, Near extremal Khovanov homology of Turaev genus one links, A note on knot fertility. II, Knots, Diagrams and Kids’ Shoelaces. On Space and their Forms, Knot Theory in Linear Algebra: An Example with Trip Matrices, Adequate links in thickened surfaces and the generalized Tait conjectures, Jones polynomial, Tait conjectures and amphicheirals, Towards tangle calculus for Khovanov polynomials, Redefining disoriented knots and diagrammatic methods, A groupoid approach to regular \(\ast \)-semigroups, A new condition on the Jones polynomial of a fibered positive link, Categorification: tangle invariants and TQFTs, Scale invariant transfer matrices and Hamiltionians, UNLINKING NUMBER AND UNLINKING GAP, STATE MODELS FOR KNOT POLYNOMIALS AN INTRODUCTION, A CYCLIC APPROACH TO THE ANNULAR TEMPERLEY–LIEB CATEGORY, A DETERMINANT FORMULA FOR THE JONES POLYNOMIAL OF PRETZEL KNOTS, On the crossing numbers of a virtual knot, ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS, THE HOMFLY POLYNOMIAL OF CLASSICAL PRETZEL LINKS AND ITS APPLICATION TO CHIRALITY, A polynomial quantum algorithm for approximating the Jones polynomial, A reduced set of moves on one-vertex ribbon graphs coming from links, The Kauffman bracket skein module of two-bridge links, The classification of subfactors of index at most 5, Topological field theories, The Jones polynomial, genus and weak genus of a knot, Low complexity algorithms in knot theory, The granny and the square tangle and the unknotting number, Polynomial invariants of a link with local symmetry, On the skein module of the product of a surface and a circle, An enhanced bracket polynomial for knotoids, 2-Adjacency between some special knots and pretzel knot, ON HABIRO'S CYCLOTOMIC EXPANSIONS OF THE OHTSUKI INVARIANT, The Bubble skein element and applications, On the Jones polynomial of 2n-plat presentations of knots, PROFESSOR C. N. YANG AND STATISTICAL MECHANICS, Reidemeister moves and a polynomial of virtual knot diagrams, Bounds on übercrossing and petal numbers for knots, A BRACKET POLYNOMIAL FOR GRAPHS, I, The slope conjecture for Montesinos knots, New structure for orthogonal quantum group invariants, Heegaard diagrams corresponding to Turaev surfaces, Do link polynomials detect causality in globally hyperbolic spacetimes?, Span of the Jones polynomials of certain v-adequate virtual links, Supercoiled tangles and stick numbers of 2-Bridge links, On Odd Torsion in Even Khovanov Homology, A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain, Regional knot invariants, The 𝔰𝔩3 colored Jones polynomials for 2-bridge links, The Askey–Wilson algebra and its avatars, Asymptotic laws for random knot diagrams
