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A STATE-SUM FORMULA FOR THE ALEXANDER POLYNOMIAL

SAMSON BLACK

Simon Fraser University, Burnaby, BC, Canada

https://doi.org/10.1142/S0218216511009741Cited by:0 (Source: Crossref)

Abstract

We develop a diagrammatic formalism for calculating the Alexander polynomial of the closure of a braid as a state-sum. Our main tools are the Markov trace formulas for the HOMFLY-PT polynomial and Young's semi-normal representations of the Iwahori–Hecke algebras of type A.

Keywords:

AMSC: 57M27, 57M25

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