Twisted Alexander Polynomials of Hyperbolic Links

Abstract

In this paper we apply the twisted Alexander polynomial to study fibering and genus detecting problems for oriented links. In particular we generalize a conjecture of Dunfield, Friedl and Jackson on the torsion polynomial of hyperbolic knots to hyperbolic links, and confirm it for an infinite family of hyperbolic 2-bridge links. Moreover, we consider a similar problem for parabolic representations of 2-bridge link groups.