Reduced Relative Tutte, Kauffman Bracket and Jones Polynomials of Virtual Link Families
Louis H. Kauffman, Slavik V. Jablan, Ljiljana Radovic, Radmila, Sazdanovic
TL;DR
This paper provides general formulas for key polynomial invariants of virtual knots and links, and discusses a counterexample to a conjecture related to virtual link transformations.
Contribution
It introduces formulas for invariants of virtual link families and presents a counterexample to the Z-move conjecture.
Findings
Formulas for reduced relative Tutte, Kauffman bracket, and Jones polynomials.
Counterexample to the Z-move conjecture.
Analysis of virtual link families in Conway notation.
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.
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