Homological characterization of the unknot

DOI10.1016/S0022-4049(02)00068-3zbMath1013.57002OpenAlexW2034640236MaRDI QIDQ1861476

Michael Eisermann

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00068-3

zbMATH Keywords

quandleknot groupquandle homologytrivial knot

Mathematics Subject Classification ID

Related Items (26)

Idempotents, free products and quandle coverings ⋮ Shifting chain maps in quandle homology and cocycle invariants ⋮ A covering theory for non-involutive set-theoretic solutions to the Yang-Baxter equation ⋮ SOME TOPOLOGICAL ASPECTS OF 4-FOLD SYMMETRIC QUANDLE INVARIANTS OF 3-MANIFOLDS ⋮ Inequivalent surface-knots with the same knot quandle ⋮ Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation ⋮ Yang–Baxter deformations and rack cohomology ⋮ On factorization systems for surjective quandle homomorphisms ⋮ A functor-valued extension of knot quandles ⋮ Homology operations on homology of quandles ⋮ Twisted Alexander matrices of quandles associated with a certain Alexander pair ⋮ Enhancements of link colorings via idempotents of quandle rings ⋮ The knot quandle of the twist-spun trefoil is a central extension of a Schläfli quandle ⋮ Topological quandles up to four elements ⋮ Extended quandle spaces and shadow homotopy invariants of classical links ⋮ Quandle cohomology is a Quillen cohomology ⋮ A Galois-theoretic approach to the covering theory of quandles ⋮ On homotopy groups of quandle spaces and the quandle homotopy invariant of links ⋮ Quandle and hyperbolic volume ⋮ Longitudinal mapping knot invariant for SU(2) ⋮ THE SECOND QUANDLE HOMOLOGY OF THE TAKASAKI QUANDLE OF AN ODD ABELIAN GROUP IS AN EXTERIOR SQUARE OF THE GROUP ⋮ CHARACTERIZATION OF FRAMINGS VIA COHOMOLOGY OF THE KNOT QUANDLE ⋮ General constructions of biquandles and their symmetries ⋮ The quandle of the trefoil knot as the Dehn quandle of the torus ⋮ Yang-Baxter deformations of quandles and racks ⋮ Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles

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