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

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

2006-02-07

arxiv.org/abs/math/0602119v1

Mathematics

Symplectic Geometry

59 pages, 2 figures. Figures look better in ps file

Scientific paper

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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