PIRSA:17110113 Scientific Series Mathematical physics

DOI10.48660/17110113

Series: Mathematical Physics

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}}
}

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.

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