PIRSA:17110113

B-model for knot homology.

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

Oblomkov, Alexei. B-model for knot homology.. Perimeter Institute, Nov. 20, 2017, https://pirsa.org/17110113 

          @misc{ pirsa_PIRSA:17110113,
            doi = {10.48660/17110113},
            url = {https://pirsa.org/17110113},
            author = {Oblomkov, Alexei},
            keywords = {Mathematical physics},
            language = {en},
            title = {B-model for knot homology.},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {nov},
            note = {PIRSA:17110113 see, \url{https://pirsa.org}}
          }

Alexei Oblomkov University of Massachusetts Amherst

DOI 10.48660/17110113
Collection
Talk Type Scientific Series
Subject

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.