2-torsion rational homology spheres and SL(2,C)-representations

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• Raphael Zentner (Durham)
• Wednesday 31 January 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

We use instanton gauge theory to prove that if Y is a closed, orientable 3-manifold such that H_1(Y;Z) is nontrivial and 2-torsion, and if Y is neither an r-fold connected sum of RP3s for some r>=1, then there is an irreducible representation of the fundamental group of Y in SL(2,C). This solves a conjecture of Przytycki (Kirby problem 1.92(F)) on torsion in the Kauffman Skein module of reducible 3-manifolds, unless every summand but one is RP3 . This is joint work with Sudipta Ghosh and Steven Sivek.

This talk is part of the Differential Geometry and Topology Seminar series.

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