Approximations to the volume of hyperbolic knots
Geometric Topology
2011-02-21 v1
Abstract
We present computational data and heuristic arguments which suggest that given a hyperbolic knot the volume correlates with its determinant, the Mahler measure of its Alexander polynomial and the Mahler measure of the twisted Alexander polynomial corresponding to the discrete and faithful SL(2,C)-representation.
Keywords
Cite
@article{arxiv.1102.3742,
title = {Approximations to the volume of hyperbolic knots},
author = {Stefan Friedl and Nicholas Jackson},
journal= {arXiv preprint arXiv:1102.3742},
year = {2011}
}
Comments
13 pages and 6 figures. This short note will be published by RIMS Kokyuroku. Comments are welcome