paper

Braids, Complex Volume, and Cluster Algebra

arXiv:1304.4776 · doi:10.2140/agt.2015.15.2175

Abstract

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

18 pages

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