Strong periodicity of links and the coefficients of the Conway polynomial

Details Strong periodicity of links and the coefficients of the Conway polynomial Strong periodicity of links and the coefficients of the Conway polynomial

2006-05-31

arxiv.org/abs/math/0605777v1

Mathematics

Geometric Topology

11 pages

Scientific paper

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

Affiliated with

Also associated with

No associations

Rating

Strong periodicity of links and the coefficients of the Conway polynomial does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong periodicity of links and the coefficients of the Conway polynomial, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong periodicity of links and the coefficients of the Conway polynomial will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711394