The Kauffman Polynomial of Periodic Links
arXiv:1509.08265
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.
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