Select All
PIRSA:17110113

B-model for knot homology.

APA

Oblomkov, A. (2017). B-model for knot homology.. Perimeter Institute. https://pirsa.org/17110113

Alexei Oblomkov

University of Massachusetts Amherst

Talk number
PIRSA:17110113
Abstract

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.