A state-sum formula for the Alexander polynomial
classification
🧮 math.GT
math.RT
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polynomialalexanderstate-sumalgebrasbraidcalculatingclosuredevelop
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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.
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