A new polynomial criterion for periodic knots
arXiv:2004.03525
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.
12 pages, 4 figures; corrected references and made minor wording changes and clarifications