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Journal of the London Mathematical Society 1997 56(1):189-208; doi:10.1112/S0024610796004681
© 1997 by London Mathematical Society
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© The London Mathematical Society

Link Polynomials of Higher Order

Yongwu Rong

Department of Mathematics, George Washington University Washington, District of Columbia 20052, USA. E-mail: rong{at}math.gwu.edu

Received 7 June 1994. Revision received 3 April 1995.

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 Formula The Vassiliev invariants [1, 2] (of order 1) satisfy the relations Formula and Formula The invariants that we study satisfy the skein relations


Formula


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