A new criterion for knots with free periods
| dc.creator | Chbili, Nafaa | |
| dc.date | 2003-10-29 | |
| dc.date.accessioned | 2026-07-07T05:02:20Z | |
| dc.date.available | 2026-07-07T05:02:20Z | |
| dc.description | Let $p\geq 2$ and $q\neq 0$ an integer. A knot $K$ in the three-sphere is said to be a $(p,q)$-lens knot if and only if it covers a link in the lens space $L(p,q)$. In this paper, we use the second coefficient of the HOMFLY polynomial to provide a necessary condition for a knot to be a $(p,q)$-lens knot. As an application, it is shown that this criterion rules out the possibility of being $(5,1)$-lens for 80 among the 84 knots with less than 9 crossings. | |
| dc.description | 14 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0310458 | |
| dc.identifier | http://arxiv.org/abs/math/0310458 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69014 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | A new criterion for knots with free periods | |
| dc.type | text |