On polynomials and surfaces of variously positive links
| dc.creator | Stoimenow, A. | |
| dc.date | 2002-02-22 | |
| dc.date | 2003-09-26 | |
| dc.date.accessioned | 2026-07-07T09:59:14Z | |
| dc.date.available | 2026-07-07T09:59:14Z | |
| dc.description | It is known that the minimal degree of the Jones polynomial of a positive knot is equal to its genus, and the minimal coefficient is 1. We extend this result to almost positive links and partly identify the 3 following coefficients for special types of positive links. We also give counterexamples to the Jones polynomial-ribbon genus conjectures for a quasipositive knot. Then we show that the Alexander polynomial completely detects the minimal genus and fiber property of canonical Seifert surfaces associated to almost positive (and almost alternating) link diagrams. | |
| dc.description | 27 pages, 11 figures; revision 26 Sep 03: added ex. 7, section 4.4 and minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0202226 | |
| dc.identifier | http://arxiv.org/abs/math/0202226 | |
| dc.identifier | Jour. Europ. Math. Soc. 7(4) (2005), 477--509. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167949 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | On polynomials and surfaces of variously positive links | |
| dc.type | text |