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KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES

VASSILY O. MANTUROV

Mechanical and Mathematical Department, Moscow State University, Russia

https://doi.org/10.1142/S0218216503002974Cited by:16 (Source: Crossref)

Abstract

In the present paper, we construct a virtual knot invariant with values in the free infinite-dimensional module over Z[a, a^-1]. The restriction of this invariant to the set of classical knots coincides with the Jones–Kauffman polynomial. It distinguishes virtual knots stronger than the generalised Jones-Kauffman polynomial proposed in [Kau].

Keywords:

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