Quandle homology and complex volume
Geometric Topology
2015-03-17 v3
Abstract
We introduce a new homology theory of quandles, called simplicial quandle homology, which is quite different from quandle homology developed by Carter et al. We construct a homomorphism from a quandle homology group to a simplicial quandle homology group. As an application, we obtain a method for computing the complex volume of a hyperbolic link only from its diagram.
Cite
@article{arxiv.1012.2923,
title = {Quandle homology and complex volume},
author = {Ayumu Inoue and Yuichi Kabaya},
journal= {arXiv preprint arXiv:1012.2923},
year = {2015}
}
Comments
27 pages, 11 figures; added Lemma 7.2