GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
From MaRDI portal
Publication:4541018
DOI10.1142/S0218216501000901zbMath1002.57019arXivmath/0006115OpenAlexW2002987437MaRDI QIDQ4541018
Seiichi Kamada, J. Scott Carter, Masahico Saito
Publication date: 30 July 2002
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0006115
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (66)
Shifting chain maps in quandle homology and cocycle invariants ⋮ The shadow nature of positive and twisted quandle invariants of knots ⋮ Computations of quandle cocycle invariants of surface-links using marked graph diagrams ⋮ Rewriting the elements in the intersection of the kernels of two morphisms between free groups ⋮ Asymptotic behaviors in the homology of symmetric group and finite general linear group quandles ⋮ On 4-cocycles of Alexander quandles on finite fields ⋮ Homology of ternary algebras yielding invariants of knots and knotted surfaces ⋮ Twisted cohomology pairings of knots. I: Diagrammatic computation ⋮ Higher coverings of racks and quandles. II ⋮ Homology operations on homology of quandles ⋮ Layers of knot region colorings and higher differentials ⋮ Algebraic properties of quandle extensions and values of cocycle knot invariants ⋮ Quandle colorings vs. biquandle colorings ⋮ Cohomology pairings of 3-manifolds and their diagrammatic computation ⋮ Twisted cohomology pairings of knots. III: Triple cup products ⋮ Quandle cocycles from invariant theory ⋮ Quandle homotopy invariants of knotted surfaces ⋮ Extended quandle spaces and shadow homotopy invariants of classical links ⋮ On third homologies of groups and of quandles via the Dijkgraaf-Witten invariant and Inoue-Kabaya map ⋮ A \(G\)-family of quandles and handlebody-knots ⋮ A NOTE ON THE SHADOW COCYCLE INVARIANT OF A KNOT WITH A BASE POINT ⋮ Triple linking numbers and triple point numbers of certain \(T^2\)-links ⋮ Homotopical interpretation of link invariants from finite quandles ⋮ Local biquandles and Niebrzydowski's tribracket theory ⋮ Moves and invariants for knotted handlebodies ⋮ THE SPUN TREFOIL NEEDS FOUR BROKEN SHEETS ⋮ THE INTEGRALITY OF DIHEDRAL QUANDLE COCYCLE INVARIANTS ⋮ On relations and homology of the Dehn quandle ⋮ On the potential functions for a link diagram ⋮ Distributive Products and Their Homology ⋮ On homotopy groups of quandle spaces and the quandle homotopy invariant of links ⋮ UNKNOTTING NUMBERS AND TRIPLE POINT CANCELLING NUMBERS OF TORUS-COVERING KNOTS ⋮ Surface links which are coverings over the standard torus ⋮ 4-fold symmetric quandle invariants of 3-manifolds ⋮ CALCULATION OF DIHEDRAL QUANDLE COCYCLE INVARIANTS OF TWIST SPUN 2-BRIDGE KNOTS ⋮ Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces ⋮ Homology groups of symmetric quandles and cocycle invariants of links and surface-links ⋮ A lower bound for the number of Reidemeister moves of type III ⋮ THE THIRD COHOMOLOGY GROUPS OF DIHEDRAL QUANDLES ⋮ Twisted quandle homology theory and cocycle knot invariants ⋮ The braid shelf ⋮ Biquandle cohomology and state-sum invariants of links and surface-links ⋮ THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS ⋮ Laver's results and low-dimensional topology ⋮ On the fundamental 3-classes of knot group representations ⋮ Quandle coloring and cocycle invariants of composite knots and abelian extensions ⋮ Shadow biquandles and local biquandles ⋮ The 2-twist-spun trefoil has the triple point number four ⋮ Quandle homology and complex volume ⋮ POLYNOMIAL COCYCLES OF ALEXANDER QUANDLES AND APPLICATIONS ⋮ On rack homology groups of finite quandles via permutations ⋮ Three geometric applications of quandle homology ⋮ Sheet number and quandle-colored 2-knot ⋮ Annihilation of torsion in homology of finite m-AQ quandles ⋮ Some aspects of the SD-world ⋮ Extensions of Quandles and Cocycle Knot Invariants ⋮ Quandle coloring quivers of links using dihedral quandles ⋮ CHARACTERIZATION OF FRAMINGS VIA COHOMOLOGY OF THE KNOT QUANDLE ⋮ Quandles of cyclic type with several fixed points ⋮ Two- and three-cocycles for Laver tables ⋮ Ping-ponging between relations in groups and relations in quandles ⋮ On quandle homology groups of Alexander quandles of prime order ⋮ Distributivity versus associativity in the homology theory of algebraic structures ⋮ Homological characterization of the unknot ⋮ The Betti numbers of some finite racks ⋮ The torsion of a finite quasigroup quandle is annihilated by its order
Cites Work
This page was built for publication: GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
