Braids, complex volume and cluster algebras

Kazuhiro Hikami, Rei Inoue

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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
Volume15
Issue number4
DOIs
Publication statusPublished - Oct 10 2015

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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