The diameter of the set of boundary slopes of a knot
| dc.creator | Klaff, Ben | |
| dc.creator | Shalen, Peter B | |
| dc.date | 2004-12-07 | |
| dc.date | 2009-04-21 | |
| dc.date.accessioned | 2026-07-07T13:06:25Z | |
| dc.date.available | 2026-07-07T13:06:25Z | |
| dc.description | Let K be a tame knot with irreducible exterior M(K) in a closed, connected, orientable 3--manifold Sigma such that pi_1(Sigma) is cyclic. If infinity is not a strict boundary slope, then the diameter of the set of strict boundary slopes of K, denoted d_K, is a numerical invariant of K. We show that either (i) d_K >= 2 or (ii) K is a generalized iterated torus knot. The proof combines results from Culler and Shalen [Comment. Math. Helv. 74 (1999) 530-547] with a result about the effect of cabling on boundary slopes. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 29 August 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0412147 | |
| dc.identifier | http://arxiv.org/abs/math/0412147 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 1095-1112 | |
| dc.identifier | doi:10.2140/agt.2006.6.1095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227776 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M15, 57M25, 57M50 | |
| dc.title | The diameter of the set of boundary slopes of a knot | |
| dc.type | text |