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Representations of Knot Groups and Twisted Alexander Polynomials

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Riverside, CA 92521, USA

    Xiao Song Lin

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  1. Xiao Song Lin
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Correspondence to Xiao Song Lin.

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Lin, X.S. Representations of Knot Groups and Twisted Alexander Polynomials. Acta Math Sinica 17, 361–380 (2001). https://doi.org/10.1007/s101140100122

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  • DOI: https://doi.org/10.1007/s101140100122

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