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Metabelian SL(n,C) representations of knot groups IV: twisted Alexander polynomials (1209.4244v1)

Published 19 Sep 2012 in math.GT

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.

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