Small genus knots in lens spaces have small bridge number
| dc.creator | Baker, Kenneth L | |
| dc.date | 2006-12-15 | |
| dc.date | 2009-04-30 | |
| dc.date.accessioned | 2026-07-07T13:10:03Z | |
| dc.date.available | 2026-07-07T13:10:03Z | |
| dc.description | In a lens space X of order r a knot K representing an element of the fundamental group pi_1 X = Z/rZ of order s <= r contains a connected orientable surface S properly embedded in its exterior X-N(K) such that the boundary of S intersects the meridian of K minimally s times. Assume S has just one boundary component. Let g be the minimal genus of such surfaces for K, and assume s >= 4g-1. Then with respect to the genus one Heegaard splitting of X, K has bridge number at most 1. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 11 October 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0612427 | |
| dc.identifier | http://arxiv.org/abs/math/0612427 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 1519-1621 | |
| dc.identifier | doi:10.2140/agt.2006.6.1519 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228937 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27, 57M25 | |
| dc.title | Small genus knots in lens spaces have small bridge number | |
| dc.type | text |