pith. sign in

arxiv: 1304.4776 · v6 · pith:V67ANYJInew · submitted 2013-04-17 · 🧮 math.GT · math-ph· math.MP

Braids, Complex Volume, and Cluster Algebra

Kazuhiro Hikami , Rei Inoue This is my paper
classification 🧮 math.GT math-phmath.MP
keywords clustercomplexvolumealgebraalgebraicbraidscomputingconstruct
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

    hep-th 2026-05 unverdicted novelty 6.0

    Authors propose shaded A-polynomials A_a(ℓ_b, m_c) for SU(N) via CG chords from huge representations of U_q(su_N) in the classical limit, with examples for knots 3_1, 4_1, 5_1 in su_3.