Talk
Fukaya-Seidel category and gauge theory
- Andriy Haydys (Imperial College London/Universität Bielefeld)
Abstract
In this talk I will first outline a new construction of the Fukaya-Seidel category, which is associated to a symplectic manifold equipped with a compatible almost complex structure J and a J-holomorphic Morse function. Then this construction will be applied in an infinite dimensional case of holomorphic Chern-Simons functional. The corresponding construction conjecturally associates a Fukaya-Seidel-type category to a smooth three-manifold.