Representations of knot groups and twisted Alexander polynomials

被引：66

作者：

Lin, XS ^{[1
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2001年 / 17卷 / 03期

关键词：

twisted Alexander polynomial; representation space; knot group;

D O I：

10.1007/PL00011612

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a twisted version of the Alexander polynomial associated with a matrix representation of the knot group. Examples of two knots with the same Alexander module but different twisted Alexander polynomials are given.

引用

页码：361 / 380

页数：20