Incompressible surfaces and (1,2)-knots
| dc.creator | Eudave-Munoz, Mario | |
| dc.date | 2007-03-05 | |
| dc.date | 2009-03-30 | |
| dc.date.accessioned | 2026-07-07T12:57:35Z | |
| dc.date.available | 2026-07-07T12:57:35Z | |
| dc.description | We give a description of all (1,2)-knots in S^3 which admit a closed meridionally incompressible surface of genus 2 in their complement. That is, we give several constructions of (1,2)-knots having a meridionally incompressible surface of genus 2, and then show that any such surface for a (1,2)-knot must come from one of the constructions. As an application, we show explicit examples of tunnel number one knots which are not (1,2)-knots. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 3 December 2007 | |
| dc.identifier | https://arxiv.org/abs/math/0703132 | |
| dc.identifier | http://arxiv.org/abs/math/0703132 | |
| dc.identifier | Geom. Topol. Monogr. 12 (2007) 35-87 | |
| dc.identifier | doi:10.2140/gtm.2007.12.35 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224979 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57N10 | |
| dc.title | Incompressible surfaces and (1,2)-knots | |
| dc.type | text |