English

A note on the Lickorish-Millett-Turaev formula for the Kauffman polynomial

Geometric Topology 2012-08-27 v1

Abstract

We use the idea of expressing a nonoriented link as a sum of all oriented links corresponding to the link to present a short proof of the Lickorish-Millett-Turaev formula for the Kauffman polynomial at z=aa1z= -a- a^{-1}. Our approach explains the observation made by Lickorish and Millett that the formula is the generating function for the linking number of a sublink of the given link with its complementary sublink.

Keywords

Cite

@article{arxiv.1208.4900,
  title  = {A note on the Lickorish-Millett-Turaev formula for the Kauffman polynomial},
  author = {Jozef H. Przytycki},
  journal= {arXiv preprint arXiv:1208.4900},
  year   = {2012}
}

Comments

5 pages, 4 figures