scientific article; zbMATH DE number 907055

Publication date: 18 July 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

signature crossing number Jones polynomial statistical mechanics genus knot invariants linking number Seifert surface knot theory Vassiliev invariants bridge number Reidemeister moves Alexander-Conway polynomial

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Coloring of graphs and hypergraphs (05C15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes (57-01)

Related Items

Splitting a contraction of a simple curve traversed m times, Knots with equal bridge index and braid index, KNOTS OF CONSTANT CURVATURE, A METHOD OF ENCODING GENERALIZED LINK DIAGRAMS, Braiding minimal sets of vector fields, The four-genus of connected sums of torus knots, Unnamed Item, Unnamed Item, Quandle coloring quivers of (p,2)-torus links, Coloring in graphs of twist knots, Unnamed Item, Dichromatic polynomial for graph of a \((2, n)\)-torus knot, Simplicial Endomorphisms, Statics and dynamics of DNA knotting, THE KAUFFMAN POLYNOMIALS OF PRETZEL KNOTS, SIMILARITY INDICES OF AMPHICHEIRAL KNOTS AND TANGLES, COLORING ALGEBRAIC KNOTS AND LINKS, Unnamed Item, KAUFFMAN-TYPE POLYNOMIAL INVARIANTS FOR DOUBLY PERIODIC STRUCTURES, SOME TYPES OF DYNAMICAL 3-DIMENSIONAL BRAID, NULLIFICATION OF KNOTS AND LINKS, The Schubert normal form of a 3-bridge link and the 3-bridge link group, Independence of iterated Whitehead doubles, TRIPLE POINT NUMBERS OF TWIST SPUN KNOTS, CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS, THE ADDITIVITY OF CROSSING NUMBERS, Computations of quandle cocycle invariants of knotted curves and surfaces, TWIST MOVES AND VASSILIEV INVARIANTS, Tangles, Rational Knots and DNA, Maximal Thurston-Bennequin number of two-bridge links, THE MAPPING CLASS GROUP OF (S³, K), WHERE K IS A TWO-BRIDGE KNOT OR LINK, BRAID SOLUTIONS TO THE ACTION OF THE GIN ENZYME, ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II, ASCENDING NUMBER OF KNOTS AND LINKS, Quandle cohomology and state-sum invariants of knotted curves and surfaces, A formula for the HOMFLY polynomial of rational links, POLYNOMIAL COCYCLES OF ALEXANDER QUANDLES AND APPLICATIONS, A PARTIAL ORDERING OF KNOTS AND LINKS THROUGH DIAGRAMMATIC UNKNOTTING, AN ESTIMATION OF THE ALTERNATION NUMBER OF A TORUS KNOT, Braids and Signatures, ON THE CLASSIFICATION OF RATIONAL 3-TANGLES, Unknotting operations on knots and links, Group presentations for links in thickened surfaces, State-sum invariants of knotted curves and surfaces from quandle cohomology, Topological lower bounds on the distance between area preserving diffeomorphisms, DETERMINING THE COMPONENT NUMBER OF LINKS CORRESPONDING TO LATTICES, A note on band surgery and the signature of a knot, Equivalence of rational links and 2-bridge links revisited, Generating functions on epimorphisms between 2-bridge knot groups, The 𝔰𝔩3 colored Jones polynomials for 2-bridge links, Bounds for minimum step number of knots confined to tubes in the simple cubic lattice, The parametrized complexity of knot polynomials, BAND SURGERY ON KNOTS AND LINKS, II, Conway polynomial and Magnus expansion, On the classification of rational tangles, Three-partite vertex model and knot invariants, Existence of energy minimizers as stable knotted solitons in the Faddeev model, A characterization of Conway-Coxeter friezes of zigzag type by rational links, Genera of two-bridge knots and epimorphisms of their knot groups, A polynomial parametrization of torus knots, Nullification numbers of knots with up to 10 crossings, Untangling trigonal diagrams, Harmonic knots, GRAPHICAL CALCULI FOR THE DUBROVNIK POLYNOMIAL WITH APPLICATIONS, POSITIVE PERMUTATION BRAIDS AND PERMUTATION INVERSIONS WITH SOME APPLICATIONS, On canonical triangulations of once-punctured torus bundles and two-bridge link complements. With an appendix by David Futer., A knot polynomial invariant for analysis of topology of RNA stems and protein disulfide bonds, Delta moves and Kauffman polynomials of virtual knots, Tangential center problem for a family of non-generic Hamiltonians, On upper bounds for toroidal mosaic numbers, Chern-Simons theory, 2d Yang-Mills, and Lie algebra wanderers, Nullification of Torus knots and links, Static knot energy, Hopf charge, and universal growth law, The first rational Chebyshev knots, An expression for the Homflypt polynomial and some applications, The Goeritz matrix and signature of a two bridge knot, HOMFLY polynomials of torus links as generalized Fibonacci polynomials, Knots and links of invariant tori in Beltrami flows with cubic symmetry, THE 2-BRIDGE KNOTS OF UP TO 16 CROSSINGS, Computing the Conway polynomial of several closures of oriented 3-braids, Abelian Chern-Simons theory, Stokes theorem, and generalized connections, Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots, Application of computer algebra to Jones polynomials, Tetrahedron manifold series of Heegaard genus two with knot presentation and Dehn surgery, A method on the matrix of graph of torus knot \(k(2,q)\) and its Maple application, A work on torus knots \(K\)(\(p\),\(q\)), Self-adjunctions and matrices., Some evaluations of the Jones polynomial for certain families of weaving knots, Rational tangle surgery and Xer recombination on catenanes, The number of Reidemeister moves needed for unknotting, Notes on the braid index of closed positive braids., The lexicographic degree of the first two-bridge knots, Chebyshev diagrams for two-bridge knots, The architecture and the Jones polynomial of polyhedral links, On minimality of two-bridge knots, A note on regular isotopy of singular links, Dual graphs and knot invariants, Topological sum rules in the knotting probabilities of DNA, Recent advances on the non-coherent band surgery model for site-specific recombination, On Alexander-Conway polynomials of two-bridge links, Converting homotopies to isotopies and dividing homotopies in half in an effective way, Systems of 3-braid equations, PERIODIC ORBITS OF A DYNAMICAL SYSTEM RELATED TO A KNOT, Metric properties of the group of area preserving diffeomorphisms, Quantum knots and mosaics, PATH-WIDTH OF A GRAPH VS BRIDGE NUMBER OF A KNOT, CHEBYSHEV KNOTS, Topological chirality of a type of DNA and protein polyhedral links, Covering space semigroups and retracts of compact Lie groups, H(2)-GORDIAN DISTANCE OF KNOTS, Anomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix models, An algorithm based on 3-braids to solve tangle equations arising in the action of Gin DNA invertase, Polymers with spatial or topological constraints: theoretical and computational results, On graphs determining links with maximal number of components via medial construction, A celtic framework for knots and links, Noncyclic covers of knot complements, Torus knots and links from eikonal equations and knot invariants for classification of atoms, Genus one knots which admit (1,1)-decompositions, An algorithm to compute the Kauffman polynomial of 2-bridge knots, The Faddeev knots as stable solitons: existence theorems, Minimizing configurations for elastic surface energies with elastic boundaries, The number of circles of a maximum state of a plane graph with applications, Topological chaos in spatially periodic mixers, Black magic session of concordance: Regge mass spectrum from Casson’s invariant, NEW STRING AMPLITUDES FROM OLD FERMAT (HYPER)SURFACES, BAND SURGERY ON KNOTS AND LINKS, From Goeritz Matrices to Quasi-alternating Links, Knots and graphs, A Survey of the Impact of Thurston’s Work on Knot Theory, Dynamics of twisted Alexander invariants, Circuit complexity of knot states in Chern-Simons theory, Legendrian framings for two-bridge links, A proof of the Kauffman-Harary conjecture, Upper bound for the alternation number of a torus knot, DETERMINING THE COMPONENT NUMBER OF LINKS CORRESPONDING TO TRIANGULAR AND HONEYCOMB LATTICES, The first nonzero Melnikov function for a family of good divides, GLOBAL PROPERTIES OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE, VASSILIEV INVARIANTS AND SIMILARITY INDICES OF KNOTS, LINKS AND TANGLES, The combinatorics of some tetrahedron manifolds, A note on the Jones polynomials of 3-braid links, On definite strongly quasipositive links and L-space branched covers, Signature asymptotique d'un champ de vecteurs en dimension 3. (Asymptotic signature of a vector field in dimension 3), Tait's flyping conjecture for 4-regular graphs, On independence of some pseudocharacters on braid groups, Knots and links in spatial graphs: a survey, Floer homology of surgeries on two-bridge knots, Concordance and mutation, Vassiliev invariants and knot polynomials, ON 2-ADJACENCY OF CLASSICAL PRETZEL KNOTS, On hyperbolic knots with Seifert fibered Dehn surgeries, Surface-links with square-type ch-graphs