Commensurability classes of 2-bridge knot complements
Geometric Topology
2016-01-20 v1
Abstract
We show that a hyperbolic 2-bridge knot complement is the unique knot complement in its commensurability class. We also discuss constructions of commensurable hyperbolic knot complements and put forth a conjecture on the number of hyperbolic knot complements in a commensurability class.
Keywords
Cite
@article{arxiv.math/0612473,
title = {Commensurability classes of 2-bridge knot complements},
author = {Alan W. Reid and Genevieve S. Walsh},
journal= {arXiv preprint arXiv:math/0612473},
year = {2016}
}
Comments
20 pages; 2 figures