A state-sum formula for the Alexander polynomial
Geometric Topology
2013-08-14 v2 Representation Theory
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.
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Cite
@article{arxiv.1002.4860,
title = {A state-sum formula for the Alexander polynomial},
author = {Samson Black},
journal= {arXiv preprint arXiv:1002.4860},
year = {2013}
}
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8 pages