A link polynomial via a vertex-edge-face state model

2007/04/23 by Fiedler, Thomas
#57M10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0704.2953

Abstract

We construct a 2-variable link polynomial, called W_L, 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 W_L to an ordered set of 3-variable polynomials for those links in 3-space which contain a Hopf link as a sublink.

Related

• The Jones and Alexander polynomials for singular links
• On the Alexander polynomial of special alternating links
• State generatings for Jones and Kauffman-Jones polynomials
• Alexander-Conway Polynomial State Model and Link Homology
• On the Aicardi-Juyumaya bracket for tied links