Strong periodicity of links and the coefficients of the Conway polynomial
| dc.creator | Chbili, Nafaa | |
| dc.date | 2006-05-31 | |
| dc.date.accessioned | 2026-07-07T07:14:40Z | |
| dc.date.available | 2026-07-07T07:14:40Z | |
| dc.description | Przytycki and Sokolov proved that a three-manifold admits a semi-free action of the finite cyclic group of order $p$ with a circle as the set of fixed points if and only if $M$ is obtained from the three-sphere by surgery along a strongly $p-$periodic link $L$. Moreover, if the quotient three-manifold is an integral homology sphere, then we may assume that $L$ is orbitally separated. This paper studies the behavior of the coefficients of the Conway polynomial of such a link. Namely, we prove that if $L$ is a strongly $p$-periodic orbitally separated link and $p$ is an odd prime, then the coefficient $a_{2i}(L)$ is congruent to zero modulo $p$ for all $i$ such that $2i<p-1$. \\ | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605777 | |
| dc.identifier | http://arxiv.org/abs/math/0605777 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112970 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Strong periodicity of links and the coefficients of the Conway polynomial | |
| dc.type | text |