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B-model for knot homology.

Talk is based on the joint work with Lev Rozansky. In my talk will outline a construction that provides complex $C_b$ of coherent sheaves on the Hilbert scheme of $n$ points on the plane for every $n$-stranded braid $b$. The space of global sections of $C_b$ is a categorification of the HOMFLYPT polynomial of the closure $L(b)$ of the braid. I will also present a physical interpretation of our construction as a particular case of Kapustin-Saulina-Rozansky 3D topological field theory.

Collection/Series: 
Event Type: 
Seminar
Scientific Area(s): 
Speaker(s): 
Event Date: 
Monday, November 20, 2017 - 11:00 to 12:30
Location: 
Sky Room
Room #: 
394