On the additivity of knot width
| dc.creator | Scharlemann, Martin | |
| dc.creator | Thompson, Abigail | |
| dc.date | 2004-03-19 | |
| dc.date | 2004-09-20 | |
| dc.date.accessioned | 2026-07-07T05:06:33Z | |
| dc.date.available | 2026-07-07T05:06:33Z | |
| dc.description | It has been conjectured that the geometric invariant of knots in 3-space called the width is nearly additive. That is, letting w(K) in N denote the width of a knot K in S^3, the conjecture is that w(K # K') = w(K) + w(K') - 2. We give an example of a knot K_1 so that for K_2 any 2-bridge knot, it appears that w(K_1 # K_2) = w(K_1), contradicting the conjecture. | |
| dc.description | Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper5.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0403326 | |
| dc.identifier | http://arxiv.org/abs/math/0403326 | |
| dc.identifier | Geom. Topol. Monogr. 7 (2004) 135-144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70514 | |
| dc.subject | Geometric Topology | |
| dc.subject | 11Y16, 57M50, 57M25 | |
| dc.title | On the additivity of knot width | |
| dc.type | text |