%0 Journal Article %T A state-sum formula for the Alexander polynomial %A Samson Black %J Mathematics %D 2010 %I arXiv %R 10.1142/S0218216511009741 %X 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. %U http://arxiv.org/abs/1002.4860v2