The Multivariable Alexander Polynomial for a Closed Braid

1998/03/27 by H. R. Morton · 1 citation
Mathematics · #math.GT #msc:57M25

paper · pdf

published as `Low-dimensional topology', ed. Hanna Nencka, Contemporary Mathematics 233, Amer. Math. Soc. (1999), 167-172. · 2 figures

arxiv created 1998/03/27 · arxiv updated 2009/11/30

Abstract

A simple multivariable version of the reduced Burau matrix is constructed for any braid. It is shown how the multivariable Alexander polynomial for the closure of the braid can be found directly from this matrix.

Cited by

• Knot Floer Homology, the Burau Representation, and Quantum \mathfrakgl(1 \vert 1)

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