Metabelian SL(<i>n</i>, ) representations of knot groups IV: twisted Alexander polynomials

AbstractIn 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.

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