Detecting the Thurston norm via twisted Reidemeister torsion

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• Adam Baranowski (DPMMS)
• Friday 24 November 2017, 15:00-16:00
• MR13.

If you have a question about this talk, please contact Nils Prigge.

Given a knot we can consider two classical invariants associated to it; its genus and Alexander polynomial. The degree of the latter gives a lower bound for the genus. However, the Alexander polynomial often fails to detect the genus of a knot. This motivates a generalization of it to a twisted invariant that also depends on a choice of a representation of the knot group. I will discuss relations between such an invariant and the genus. If time permits I will discuss a further generalization to the case of links and its relation with the Thurston norm on a link complement in the 3-sphere

This talk is part of the Junior Geometry Seminar series.

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