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arXiv · 1208.4900

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

Jozef H. Przytycki
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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 $z= -a- a^{-1}$. 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.

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Jozef H. Przytycki. 2012-08-24. A note on the Lickorish-Millett-Turaev formula for the Kauffman polynomial. https://arxiv.org/abs/1208.4900

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