Commensurability classes of (-2,3,n) pretzel knot complements
Geometric Topology
2014-10-01 v1
Abstract
Let K be a hyperbolic (-2,3,n) pretzel knot and M = S^3 K its complement. For these knots, we verify a conjecture of Reid and Walsh: there are at most three knot complements in the commensurability class of M. Indeed, if n \neq 7, we show that M is the unique knot complement in its class. We include examples to illustrate how our methods apply to a broad class of Montesinos knots.
Keywords
Cite
@article{arxiv.0804.0112,
title = {Commensurability classes of (-2,3,n) pretzel knot complements},
author = {Melissa L. Macasieb and Thomas W. Mattman},
journal= {arXiv preprint arXiv:0804.0112},
year = {2014}
}
Comments
15 pages, 1 figure