Flag varieties, Gukov-Witten defect and HOMFLY-PT link homology IAlgebra & Discrete Mathematics
|Lev Rozansky, UNC Chapel Hill
|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.