On tunnel number one knots that are not (1,n)
| dc.creator | Johnson, Jesse | |
| dc.creator | Thompson, Abigail | |
| dc.date | 2006-06-09 | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T07:41:16Z | |
| dc.date.available | 2026-07-07T07:41:16Z | |
| dc.description | We show that the bridge number of a $t$ bridge knot in $S^3$ with respect to an unknotted genus $t$ surface is bounded below by a function of the distance of the Heegaard splitting induced by the $t$ bridges. It follows that for any natural number $n$, there is a tunnel number one knot in $S^3$ that is not $(1,n)$. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606226 | |
| dc.identifier | http://arxiv.org/abs/math/0606226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122043 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M | |
| dc.title | On tunnel number one knots that are not (1,n) | |
| dc.type | text |