English

Cluster Algebra and Complex Volume of Once-Punctured Torus Bundles and Two-Bridge Knots

Geometric Topology 2014-11-19 v3 Mathematical Physics math.MP

Abstract

We propose a method to compute complex volume of 2-bridge link complements. Our construction sheds light on a relationship between cluster variables with coefficients and canonical decompositions of link complements.

Keywords

Cite

@article{arxiv.1212.6042,
  title  = {Cluster Algebra and Complex Volume of Once-Punctured Torus Bundles and Two-Bridge Knots},
  author = {Kazuhiro Hikami and Rei Inoue},
  journal= {arXiv preprint arXiv:1212.6042},
  year   = {2014}
}

Comments

30 pages