A new polynomial criterion for periodic knots
Geometric Topology
2022-07-19 v2
Abstract
The purpose of this paper is to present a new periodicity criterion. For that purpose, we study the HOMFLY-PT polynomial and the Kauffman polynomial of cables of periodic links. Furthermore, we exhibit a couple of examples for which our criterion is stronger than many previously know criteria, among which is the Khovanov homology criterion of Borodzik and the second author.
Keywords
Cite
@article{arxiv.2004.03525,
title = {A new polynomial criterion for periodic knots},
author = {Maciej Markiewicz and Wojciech Politarczyk},
journal= {arXiv preprint arXiv:2004.03525},
year = {2022}
}
Comments
12 pages, 4 figures; corrected references and made minor wording changes and clarifications