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

Wei-Dong Ruan
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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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Wei-Dong Ruan. 2006-02-07. The Fukaya category of symplectic neighborhood of a non-Hausdorff manifold. https://arxiv.org/abs/math/0602119

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