Twisted Alexander invariants detect trivial links

Stefan Friedl; Stefano Vidussi

doi:10.4153/cmb-2016-097-x

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arXiv · 1306.3487

Twisted Alexander invariants detect trivial links

Stefan Friedl·Stefano Vidussi

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Abstract

It follows from earlier work of Silver-Williams and the authors that twisted Alexander polynomials detect the unknot and the Hopf link. 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.

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BibTeX RIS

Stefan Friedl, Stefano Vidussi. 2013-06-14. Twisted Alexander invariants detect trivial links. https://doi.org/10.4153/cmb-2016-097-x

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