A state-sum formula for the Alexander polynomial

Details A state-sum formula for the Alexander polynomial A state-sum formula for the Alexander polynomial

2010-02-25

arxiv.org/abs/1002.4860v2

Mathematics

Geometric Topology

8 pages

Scientific paper

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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