Twisted Alexander Invariants Detect Trivial Links
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Published:2017-06-01
Issue:2
Volume:60
Page:283-299
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Friedl Stefan,Vidussi Stefano
Abstract
AbstractIt follows fromearlier work of Silver andWilliams and the authors that twisted Alexander polynomials detect the unknot and theHopf link. We now show that twisted Alexander polynomials also detect the trefoil and the ûgure-Ç knot, that twisted Alexander polynomials detect whether a link is split and that twisted Alexander modules detect trivial links. We use this result to provide algorithms for detecting whether a link is the unlink, whether it is split, and whether it is totally split.
Publisher
Canadian Mathematical Society
Subject
General Mathematics