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MULTI-VARIABLE POLYNOMIAL INVARIANTS FOR VIRTUAL LINKS

VASSILY O. MANTUROV

Mechanical and Mathematical Department, Moscow State University, Russia

https://doi.org/10.1142/S0218216503002962Cited by:12 (Source: Crossref)

Abstract

We construct new invariant polynomials in two and multiple variables for virtual knots and links. They are defined as determinants of Alexander-like matrices whose determinants are virtual link invariants. These polynomials vanish on classical links. In some cases, they separate links that can not be separated by the Jones–Kauffman polynomial [Kau] and the polynomial proposed in [Ma3].

Keywords:

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