Fukaya-Seidel category and gauge theory

Details Fukaya-Seidel category and gauge theory Fukaya-Seidel category and gauge theory

2010-10-12

arxiv.org/abs/1010.2353v3

Mathematics

Symplectic Geometry

minor corrections, exposition somewhat changed

Scientific paper

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.

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