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

Hans U. Boden; Stefan Friedl

doi:10.1017/s0305004113000510

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arXiv · 1209.4244

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

Hans U. Boden·Stefan Friedl

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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.

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Hans U. Boden, Stefan Friedl. 2012-09-19. Metabelian SL(n,C) representations of knot groups IV: twisted Alexander polynomials. https://doi.org/10.1017/s0305004113000510

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