THE JONES AND ALEXANDER POLYNOMIALS FOR SINGULAR LINKS-Reference-Cited by-同舟云学术

THE JONES AND ALEXANDER POLYNOMIALS FOR SINGULAR LINKS

Published:2010-07 Issue:07 Volume:19 Page:859-866
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

FIEDLER THOMAS¹

Affiliation:

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216510008236

Reference9 articles.

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2. On the Vassiliev knot invariants

3. de Gruyter Studies in Mathematics;Burde G.,1985

4. State models and the jones polynomial

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