English

Quandle and hyperbolic volume

Geometric Topology 2008-12-03 v1

Abstract

We show that the hyperbolic volume of a hyperbolic knot is a quandle cocycle invariant. Further we show that it completely determines invertibility and positive/negative amphicheirality of hyperbolic knots.

Keywords

Cite

@article{arxiv.0812.0425,
  title  = {Quandle and hyperbolic volume},
  author = {Ayumu Inoue},
  journal= {arXiv preprint arXiv:0812.0425},
  year   = {2008}
}

Comments

17 pages, 10 figures

R2 v1 2026-06-21T11:47:24.379Z