Open Access
Summer 2002 A virtualized skein relation for Jones polynomials
Naoko Kamada, Shigekazu Nakabo, Shin Satoh
Illinois J. Math. 46(2): 467-475 (Summer 2002). DOI: 10.1215/ijm/1258136203

Abstract

We give a skein relation for Jones polynomials among positive, negative, and virtual crossings with some restrictions. We apply this relation to study some properties of virtual knots obtained by replacing a real crossing by a virtual crossing.

Citation

Download Citation

Naoko Kamada. Shigekazu Nakabo. Shin Satoh. "A virtualized skein relation for Jones polynomials." Illinois J. Math. 46 (2) 467 - 475, Summer 2002. https://doi.org/10.1215/ijm/1258136203

Information

Published: Summer 2002
First available in Project Euclid: 13 November 2009

zbMATH: 1008.57007
MathSciNet: MR1936929
Digital Object Identifier: 10.1215/ijm/1258136203

Subjects:
Primary: 57M27

Rights: Copyright © 2002 University of Illinois at Urbana-Champaign

Vol.46 • No. 2 • Summer 2002
Back to Top