Fukaya-Seidel category and gauge theory

Published 12 Oct 2010 in math.SG, hep-th, math.DG, and math.GT | (1010.2353v4)

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.

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Andriy Haydys

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