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Flag varieties, Gukov-Witten defect and HOMFLY-PT link homology I

Algebra & Discrete Mathematics

Speaker: Lev Rozansky, UNC Chapel Hill
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Location: 3106 MSB
Start time: Thu, Oct 20 2016, 11:00AM

This is a joint work with A. Oblomkov. Following the ideas of Khovanov-Thomas and Riche-Bezrukavnikov, we construct a homomorphism from the braid group to a monoidal category of matrix factorizations over the product of flag varieties. An application of the trace functor to a matrix factorization yields homology, which categorifies the HOMFLY-PT polynomial of the closure of the braid.