Unknotting genus one knots
| dc.creator | Coward, Alexander | |
| dc.creator | Lackenby, Marc | |
| dc.date | 2008-09-24 | |
| dc.date | 2009-05-15 | |
| dc.date.accessioned | 2026-07-07T13:14:46Z | |
| dc.date.available | 2026-07-07T13:14:46Z | |
| dc.description | For any knot with genus one and unknotting number one, other than the figure-eight knot, we prove that there is exactly one way to unknot it by means of a crossing change. In the case of the figure-eight knot, we prove that there are precisely two unknotting crossing changes. The proof uses sutured manifold theory and an analysis of the arc complex of the once-punctured torus. | |
| dc.description | 17 pages, 11 figures; v2 corrects an error in Section 4; v3 is the final version. To appear in Commentarii Mathematici Helvetici | |
| dc.identifier | https://arxiv.org/abs/0809.4142 | |
| dc.identifier | http://arxiv.org/abs/0809.4142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230281 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57N10 | |
| dc.title | Unknotting genus one knots | |
| dc.type | text |