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THE JONES AND ALEXANDER POLYNOMIALS FOR SINGULAR LINKS

THOMAS FIEDLER

Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse Cedex 09, France

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https://doi.org/10.1142/S0218216510008236Cited by:10 (Source: Crossref)

Abstract

We extend the Kauffman state models of the Jones and Alexander polynomials of classical links to state models of their two-variable extensions in the case of singular links. Moreover, we extend both of them to polynomials with d + 1 variables for long singular knots with exactly d double points. These extensions can detect non-invertibility of long singular knots.

Keywords:

AMSC: 57M25

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