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


Dive into the research topics of 'Braids, complex volume and cluster algebras'. Together they form a unique fingerprint.

Cite this