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Proceedings of the American Mathematical Society

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


Author: Józef H. Przytycki
Journal: Proc. Amer. Math. Soc. 121 (1994), 645-647
MSC: Primary 57M25
MathSciNet review: 1213869
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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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DOI: https://doi.org/10.1090/S0002-9939-1994-1213869-5
Article copyright: © Copyright 1994 American Mathematical Society