A link polynomial via a vertex-edge-face state model
Geometric Topology
2007-05-23 v2
Abstract
We construct a 2-variable link polynomial, called , for classical links by considering simultaneously the Kauffman state models for the Alexander and for the Jones polynomials. We conjecture that this polynomial is the product of two 1-variable polynomials, one of which is the Alexander polynomial. We refine to an ordered set of 3-variable polynomials for those links in 3-space which contain a Hopf link as a sublink.
Cite
@article{arxiv.0704.2953,
title = {A link polynomial via a vertex-edge-face state model},
author = {Thomas Fiedler},
journal= {arXiv preprint arXiv:0704.2953},
year = {2007}
}