Reduced Relative Tutte, Kauffman Bracket and Jones Polynomials of Virtual Link Families

2011/06/14 by Louis H. Kauffman, Kauffman, Louis H., Slavik V. Jablan +8
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #math.GT

paper · pdf · doi:10.48550/arxiv.1106.2785

19 pages, 24 figures

openalex publication_date 2011/06/14 · arxiv created 2013/02/05 · arxiv updated 2013/02/07 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

This paper contains general formulae for the reduced relative Tutte, Kauffman bracket and Jones polynomials of families of virtual knots and links given in Conway notation and discussion of a counterexample to the Z-move conjecture of Fenn, Kauffman and Manturov.

Related

• State generatings for Jones and Kauffman-Jones polynomials
• Relative Tutte Polynomials for Colored Graphs and Virtual Knot Theory
• Tutte and Jones polynomials of link families
• Tutte and Jones Polynomial of Link Families
• The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial