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Metabelian SL(n, $\mathbb C$) representations of knot groups IV: twisted Alexander polynomials

Published online by Cambridge University Press:  20 September 2013

HANS U. BODEN  and
STEFAN FRIEDL
HANS U. BODEN
Affiliation:
Mathematics & Statistics, McMaster University, Hamilton, Ontario, L8S-4K1, Canada. e-mail: [email protected]
STEFAN FRIEDL
Affiliation:
Mathematisches Institut, Universität zu Köln, 50931 Köln, Germany e-mail: [email protected]
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Abstract

In this paper we will study properties of twisted Alexander polynomials of knots corresponding to metabelian representations. In particular we answer a question of Wada about the twisted Alexander polynomial associated to the tensor product of two representations, and we settle several conjectures of Hirasawa and Murasugi.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 156 , Issue 1 , January 2014 , pp. 81 - 97
Copyright
Copyright © Cambridge Philosophical Society 2013 

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