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.
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%0 Journal Article
%1 Lin2001a
%A Lin, Xiao-Song
%D 2001
%J Acta Mathematica Sinica
%K alexander algebra knot-theory topology
%N 3
%P 361--380
%T Representations of Knot Groups and Twisted Alexander Polynomials
%U http://dx.doi.org/10.1007/s101140100122
%V 17
%X 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.
@article{Lin2001a,
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.},
added-at = {2009-07-09T12:35:40.000+0200},
author = {Lin, Xiao-Song},
biburl = {https://www.bibsonomy.org/bibtex/2007e400d33ee94903569b404f14e2940/njj},
interhash = {abbd5c0df79964121340074ac8267db4},
intrahash = {007e400d33ee94903569b404f14e2940},
journal = {Acta Mathematica Sinica},
keywords = {alexander algebra knot-theory topology},
number = 3,
pages = {361--380},
timestamp = {2009-07-09T12:35:40.000+0200},
title = {Representations of Knot Groups and Twisted Alexander Polynomials},
url = {http://dx.doi.org/10.1007/s101140100122},
volume = 17,
year = 2001
}