State generatings for Jones and Kauffman-Jones polynomials

2017/11/13 by Wan, Liangxia
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1711.04539

Abstract

A state generating is introduced to determine the Jones polynomial of a link. Formulae for two infinite families of knots are shown by applying this method, the second family of which are proved to be non-alternating. Moreover, the method is generalized to compute the Jones-Kauffman polynomial of a virtual link. As examples, formulae for one infinite family of virtual knots are given.

Related

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