Abstract
We try to give a cluster-algebraic interpretation of the complex volume of knots. We construct the –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.
Citation
Kazuhiro Hikami. Rei Inoue. "Braids, complex volume and cluster algebras." Algebr. Geom. Topol. 15 (4) 2175 - 2194, 2015. https://doi.org/10.2140/agt.2015.15.2175
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