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arXiv:1002.4860 [math.GT]AbstractReferencesReviewsResources

A state-sum formula for the Alexander polynomial

Samson Black

Published 2010-02-25, updated 2010-06-03Version 2

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.

Comments: 8 pages
Journal: SAMSON BLACK, J. Knot Theory Ramifications, 21, 1250008 (2012)
Categories: math.GT, math.RT
Subjects: 57M27, 57M25
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