Twisted Alexander Polynomials of Hyperbolic Links

被引：6
|
作者：
Morifuji, Takayuki [1 ]
Tran, Anh T. [2 ]
机构：
[1] Keio Univ, Dept Math, Hiyoshi Campus, Yokohama, Kanagawa 2238521, Japan
[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2017年 / 53卷 / 03期
关键词：
Twisted Alexander polynomial; character variety; hyperbolic link; double twist link; parabolic representation; REIDEMEISTER TORSION; FIBERED KNOTS; CHARACTER VARIETIES; ALTERNATING LINK; THURSTON NORM; REPRESENTATIONS; INVARIANTS; 3-MANIFOLDS;
D O I：
10.4171/PRIMS/53-3-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：395 / 418
页数：24
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