On the Alexander polynomial of links in lens spaces
Geometric Topology
2019-07-23 v8
Abstract
We show how the Alexander polynomial of links in lens spaces is related to the classical Alexander polynomial of a link in the 3-sphere, obtained by cutting out the exceptional lens space fibre. It follows from these relationship that a certain normalization of the Alexander polynomial satisfies a skein relation in lens spaces.
Cite
@article{arxiv.1606.03224,
title = {On the Alexander polynomial of links in lens spaces},
author = {Eva Horvat and Boštjan Gabrovšek},
journal= {arXiv preprint arXiv:1606.03224},
year = {2019}
}
Comments
23 pages, 8 figures