Commensurability classes of twist knots
| dc.creator | Hoste, Jim | |
| dc.creator | Shanahan, Patrick D. | |
| dc.date | 2003-11-05 | |
| dc.date | 2004-02-27 | |
| dc.date.accessioned | 2026-07-07T05:02:37Z | |
| dc.date.available | 2026-07-07T05:02:37Z | |
| dc.description | In this paper we prove that if $M_K$ is the complement of a non-fibered twist knot $K$ in $\mathbb S^3$, then $M_K$ is not commensurable to a fibered knot complement in a $\mathbb Z/ 2 \mathbb Z$-homology sphere. To prove this result we derive a recursive description of the character variety of twist knots and then prove that a commensurability criterion developed by D. Calegari and N. Dunfield is satisfied for these varieties. In addition, we partially extend our results to a second infinite family of 2-bridge knots. | |
| dc.description | 10 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0311051 | |
| dc.identifier | http://arxiv.org/abs/math/0311051 | |
| dc.identifier | J. Knot Theory and its Ramifications 14.1 (2005) 91-100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69074 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Commensurability classes of twist knots | |
| dc.type | text |