The Kauffman Polynomial of Periodic Links
Geometric Topology
2016-05-31 v2
Abstract
We give a congruence relating a one variable specialization of the two variable Kauffman polynomial of any periodic link to that of its mirror image. Consequently, we obtain a new and simple criterion for periodicity of links.
Cite
@article{arxiv.1509.08265,
title = {The Kauffman Polynomial of Periodic Links},
author = {Khaled Qazaqzeh and Ayman Aboufattoum and Kyle Istvan},
journal= {arXiv preprint arXiv:1509.08265},
year = {2016}
}
Comments
The main criterion in this paper follows by Thm 1.4 in "On Murasugi's and Traczyk's criteria for periodic links" by J. Przytycki