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

页码：395 / 418

页数：24

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