Friedl, Stefan and Vidussi, Stefano (2017) Twisted Alexander Invariants Detect Trivial Links. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 60 (2). pp. 283-299. ISSN 0008-4395, 1496-4287
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It follows from earlier work of Silver and Williams and the authors that twisted Alexander polynomials detect the unknot and the Hopflink. We now show that twisted Alexander polynomials also detect the trefoil and the figure-8 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | THURSTON NORM; REIDEMEISTER TORSION; FIBERED MANIFOLDS; GRAPH MANIFOLDS; FLOER HOMOLOGY; POLYNOMIALS; KNOTS; twisted Alexander polynomial; virtual fibering theorem; unlink detection |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:10 |
| Last Modified: | 28 Feb 2019 10:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/807 |
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