A new polynomial criterion for periodic knots

Maciej Markiewicz; Wojciech Politarczyk

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arXiv · 2004.03525

A new polynomial criterion for periodic knots

Maciej Markiewicz·Wojciech Politarczyk

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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.

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Maciej Markiewicz, Wojciech Politarczyk. 2020-04-07. A new polynomial criterion for periodic knots. https://arxiv.org/abs/2004.03525

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