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arxiv: 1606.06360 · v3 · pith:ZMCUJUGQnew · submitted 2016-06-20 · 🧮 math.GT

Twisted Alexander polynomials of hyperbolic links

classification 🧮 math.GT
keywords hyperboliclinksalexanderbridgepolynomialtwistedapplyconfirm
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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.

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