Fukaya-Seidel category and gauge theory

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.

v4: This is a significantly expended version. A priori estimates and compactness are added. Some conventions are changed. v3:minor corrections, exposition somewhat changed

References in corpus (4)

• Analytic Continuation Of Chern-Simons Theory
• Fukaya-Seidel category and gauge theory
• Gauge Theory in higher dimensions, II
• Agmon's type estimates of exponential behavior of solutions of systems of elliptic partial differential equations.Applications to Schrödinger, Moisil-Theodorescu and Dirac operators

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