  In this paper we apply the twisted Alexander polynomial to study the 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.
