Twisted Alexander polynomials for irreducible SL(2, C)-representations of torus knots

被引：0

作者：

Kitano, Teruaki ^{[1
]}

Morifuji, Takayuki ^{[2
]}

机构：

[1] Soka Univ, Fac Engn, Dept Informat Syst Sci, Hachioji, Tokyo 1928577, Japan

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

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2012年 / 11卷 / 02期

关键词：

REIDEMEISTER TORSION; REPRESENTATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the twisted Alexander polynomial of a torus knot with an irreducible SL(2, C)-representation is locally constant. In the case of a (2, q) torus knot, we can give an explicit formula for the twisted Alexander polynomial and deduce Hirasawa-Murasugi's formula for the total twisted Alexander polynomial. We also give examples which address a mis-statement in a paper of Silver and Williams.

引用

页码：395 / 406

页数：12

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