|
|||||
|
|
|
|
|
|
|
|
|
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. |
PDF Access Denied
Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.
Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.
Or, you may purchase this single article for USD 29.95:
Keywords
commensurability, hyperbolic knot complement, 2-bridge knot
|
Mathematical Subject Classification 2000
Primary: 57M25, 57M10
Secondary: 57M27
|
References |
Publication
Received: 8 January 2008
Revised: 22 May 2008
Accepted: 2 June 2008
Published: 5 July 2008
|
Authors |
| Alan W Reid | |
| Department of Mathematics University of Texas Austin, TX 78712 USA |
|
| http://www.ma.utexas.edu/users/areid/ | |
| Genevieve S Walsh | |
| Department of Mathematics Tufts University Medford, MA 02155 USA |
|
| http://www.tufts.edu/~gwalsh01/ | |
|
