SL(2,C)-representations of 2-torsion homology spheres, and applications to the Kauffman skein module
Raphaël Zentner
Durham
https://www.maths.dur.ac.uk/users/raphael.zentner/
Date(s) : 18/09/2025 iCal
11h00 - 12h00
In recent joined work with Sudipta Ghosh and Steven Sivek we prove that any rational homology 3-sphere whose first homology group is 2-torsion, and which is not a connected sum of RP^3s, admits irreducible representations to SL(2,C) of its fundamental group. This has applications to the question of torsion in the Kauffman skein module. We will explain elements of the proof of our result, and how the application to the skein module is derived.
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