Volume 8, issue 2 (2008)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Commensurability classes of $2$–bridge knot complements

Alan W Reid and Genevieve S Walsh

Algebraic & Geometric Topology 8 (2008) 1031–1057
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
commensurability, hyperbolic knot complement, 2-bridge knot
Mathematical Subject Classification 2000
Primary: 57M25, 57M10
Secondary: 57M27