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The Fukaya category of symplectic neighborhood of a non-Hausdorff manifold

Wei-Dong Ruan

math.SGarXiv:math/0602119

Abstract

In this paper, using similar idea as in Fukaya-Oh's work ([9]), we devise a method to compute the Fukaya category of certain exact symplectic manifolds by reducing it to the corresponding Morse category of non-Hausdorff manifold as perturbation of the Lagrangian skeleton of the exact symplectic manifold.

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