State generatings for Jones and Kauffman-Jones polynomials

Liangxia Wan

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arXiv · 1711.04539

State generatings for Jones and Kauffman-Jones polynomials

Liangxia Wan

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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.

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Liangxia Wan. 2017-11-13. State generatings for Jones and Kauffman-Jones polynomials. https://arxiv.org/abs/1711.04539

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