Homotopical interpretation of link invariants from finite quandles

Takefumi Nosaka

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)


    This paper demonstrates a topological meaning of quandle cocycle invariants of links with respect to finite connected quandles X, from a perspective of homotopy theory: Specifically, for any prime ℓ which does not divide the type of X, the ℓ-torsion of this invariants is equal to a sum of the coloring polynomial and a Z-equivariant part of the Dijkgraaf-Witten invariant of a cyclic branched covering space. Moreover, our homotopical approach involves applications of computing some third homology groups and second homotopy groups of the classifying spaces of quandles, from results of group cohomology.

    Original languageEnglish
    Pages (from-to)1-30
    Number of pages30
    JournalTopology and its Applications
    Publication statusPublished - Sept 5 2015

    All Science Journal Classification (ASJC) codes

    • Geometry and Topology


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