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Sheaf-theoretic SL(2,C) Floer homologies for knots and three-manifolds


Speaker: Ciprian Manolescu, UCLA
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Location: 2112 MSB
Start time: Thu, Nov 29 2018, 11:00AM

I will explain the construction of some new homology theories for knots and three-manifolds, defined using perverse sheaves on the SL(2,C) character variety. These invariants are models for an SL(2,C) version of Floer’s instanton homology. I will present a few explicit computations for Brieskorn spheres and small knots in S^3, and discuss the connection to the Kapustin-Witten equations and Khovanov homology. The three-manifold construction is joint work with Mohammed Abouzaid, and the one for knots is joint with Laurent Cote.

Special Day - Thursday !