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Twisted Alexander polynomials of hyperbolic links

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.

preprint2016arXivOpen access
Takayuki MorifujiAnh T. Tran
math.GT
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Open access2 authors1 topic
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Takayuki MorifujiAnh T. Tran

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