Twisted Alexander polynomials of hyperbolic links
Geometric Topology
2016-10-24 v3
Abstract
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.
Cite
@article{arxiv.1606.06360,
title = {Twisted Alexander polynomials of hyperbolic links},
author = {Takayuki Morifuji and Anh T. Tran},
journal= {arXiv preprint arXiv:1606.06360},
year = {2016}
}
Comments
19 pages, 3 figures. Title changed. Section 3 (Finiteness theorems for alternating links) of the old version is removed, since there is a gap in the proof of Theorem 3.3. A new section on parabolic representations (Section 5) is added in the new version