Twisted Alexander polynomials of torus links

被引：0

作者：

Kitano, Teruaki ^{[1
]}

Morifuji, Takayuki ^{[2
]}

Tran, Anh T. ^{[3
]}

机构：

[1] Soka Univ, Fac Sci & Engn, Dept Informat Syst Sci, 1-236 Tangi Cho, Hachioji, Tokyo 1928577, Japan

[2] Keio Univ, Dept Math, Hiyoshi Campus, Yokohama, Kanagawa 2238521, Japan

[3] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2020年 / 29卷 / 04期

关键词：

Character variety; torus link; twisted Alexander polynomial; GROUP-REPRESENTATIONS; VARIETIES; SL(2;

D O I：

10.1142/S0218216520500169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the SL(2, C)-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.

引用

页数：16

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