Fukaya-Seidel category and gauge theory
Symplectic Geometry
2015-04-30 v4 High Energy Physics - Theory
Differential Geometry
Geometric Topology
Abstract
Given a J-holomorphic Morse function on a symplectic manifold, a new construction of the Fukaya-Seidel category is outlined. Applying this construction in an infinite dimensional case, a Fukaya-Seidel-type category is associated to a smooth three-manifold. In this case the construction is based on a five-dimensional gauge theory.
Keywords
Cite
@article{arxiv.1010.2353,
title = {Fukaya-Seidel category and gauge theory},
author = {Andriy Haydys},
journal= {arXiv preprint arXiv:1010.2353},
year = {2015}
}
Comments
v4: This is a significantly expended version. A priori estimates and compactness are added. Some conventions are changed. v3:minor corrections, exposition somewhat changed