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arXiv · 0905.0290

Oscilatory modules

Boris Tsygan
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Abstract

Developing the ideas of Bressler and Soibelman and of Karabegov, we introduce a notion of an oscillatory module on a symplectic manifold which is a sheaf of modules over the sheaf of deformation quantization algebras with an additional structure. We compare the category of oscillatory modules on a torus to the Fukaya category as computed by Polishchuk and Zaslow.

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Boris Tsygan. 2009-05-03. Oscilatory modules. https://doi.org/10.1007/s11005-009-0322-7

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