Acta Mathematica Sinica

, Volume 17, Issue 3, pp 361–380

Representations of Knot Groups and Twisted Alexander Polynomials

ORIGINAL ARTICLES

DOI: 10.1007/s101140100122

Cite this article as:
Lin, X.S. Acta Math Sinica (2001) 17: 361. doi:10.1007/s101140100122
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Abstract

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.

Keywords

Twisted Alexander polynomial Representation space Knot group 

MR (2000) Subject Classification

57M25 57M27 

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaRiversideUSA

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