1304.4776 (Kazuhiro Hikami et al.)

Braids, Complex Volume, and Cluster Algebra    [PDF]

Kazuhiro Hikami, Rei Inoue

We give a cluster algebraic interpretation of complex volume of knots. Constructed is the R-operator in terms of the cluster mutations, and we clarify a correspondence between the cluster variables and the 3-dimensional hyperbolic geometry.

View original: http://arxiv.org/abs/1304.4776