Go to content
UR Home

Twisted Alexander Invariants Detect Trivial Links

Friedl, Stefan ; Vidussi, Stefano



Abstract

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.


Owner only: item control page
  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de
0941 943 -4239 or -69394

Dissertations: dissertationen@ur.de
0941 943 -3904

Research data: daten@ur.de
0941 943 -5707

Contact persons