Journal of Symplectic Geometry
Volume 13 (2015)
Fukaya-Seidel category and gauge theory
Pages: 151 – 207
A new construction of the Fukaya-Seidel category associated with a symplectic Lefschetz fibration is outlined. Applying this construction in an infinite dimensional case, a Fukaya-Seidel-type category is associated with a smooth three-manifold. In this case the construction is based on a five-dimensional gauge theory.