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paper

A state-sum formula for the Alexander polynomial

arXiv:1002.4860 · doi:10.1142/S0218216511009741

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.

8 pages