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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Algebraic links and skein relations of the Links-Gould invariant


Author: Atsushi Ishii
Journal: Proc. Amer. Math. Soc. 132 (2004), 3741-3749
MSC (2000): Primary 57M27
Published electronically: July 26, 2004
MathSciNet review: 2084099
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Abstract: We give certain skein relations of the Links-Gould invariant. We also show that the relations lead us to recursive calculation of the invariant for algebraic links. As an application we give a formula for the Links-Gould invariant of 2-bridge links.


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Additional Information

Atsushi Ishii
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-16, Toyonaka, Osaka 560-0043, Japan
Email: aishii@cr.math.sci.osaka-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07481-7
PII: S 0002-9939(04)07481-7
Keywords: Links-Gould invariant, skein relation
Received by editor(s): June 9, 2003
Received by editor(s) in revised form: July 29, 2003
Published electronically: July 26, 2004
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2004 American Mathematical Society