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LINK POLYNOMIALS OF HIGHER ORDER

Published online by Cambridge University Press:  01 August 1997

YONGWU RONG
YONGWU RONG
Affiliation:
Department of Mathematics, George Washington University, Washington, District of Columbia 20052, USA. E-mail: rong@math.gwu.edu
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Abstract

In this paper, we study certain polynomial invariants of links (singular or non-singular) that are related to the Homfly polynomial and Vassiliev's invariants. The Homfly polynomial HL [3] (also known as the Flypmoth polynomial) satisfies the well-known skein relation xHL++yHL−+zHL0=0. The Vassiliev invariants [1, 2] (of order 1) satisfy the relations VL×=VL+−VL− and VL××=0. The invariants that we study satisfy the skein relations

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Type
Research Article
Information
Journal of the London Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 189 - 208
Copyright
The London Mathematical Society 1997

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