Braids, complex volume and cluster algebras

Kazuhiro Hikami, Rei Inoue

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)


    We try to give a cluster-algebraic interpretation of the complex volume of knots. We construct the R–operator from cluster mutations, and show that it can be regarded as a hyperbolic octahedron. The cluster variables are interpreted as the edge parameters used by Zickert for computing complex volume.

    Original languageEnglish
    Article numberA008
    Pages (from-to)2175-2194
    Number of pages20
    JournalAlgebraic and Geometric Topology
    Issue number4
    Publication statusPublished - Oct 10 2015

    All Science Journal Classification (ASJC) codes

    • Geometry and Topology


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