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Burau Maps and Twisted Alexander Polynomials

Part of: Low-dimensional topology

Published online by Cambridge University Press:  27 February 2018

Anthony Conway
Anthony Conway*
Affiliation:
Section de Mathématiques, Université de Genève, 2–4 rue du Lièvre, 1227 Acacias, Geneva, Switzerland (Anthony.Conway@unige.ch)
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Abstract

The Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define twisted Burau maps and use them to compute twisted Alexander polynomials.

Keywords

knotlinkbraid groupBurau representationtwisted Alexander polynomial

MSC classification

Primary: 57M25: Knots and links in $S^3$

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 2 , May 2018 , pp. 479 - 497
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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