State generatings for Jones and Kauffman-Jones polynomials
Geometric Topology
2017-11-15 v1
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.
Keywords
Cite
@article{arxiv.1711.04539,
title = {State generatings for Jones and Kauffman-Jones polynomials},
author = {Liangxia Wan},
journal= {arXiv preprint arXiv:1711.04539},
year = {2017}
}