Oscillatory modules

Boris Tsygan

doi:10.1007/s11005-009-0322-7

Oscillatory modules

Boris Tsygan^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	343-369
Number of pages	27
Journal	Letters in Mathematical Physics
Volume	88
Issue number	1-3
DOIs	https://doi.org/10.1007/s11005-009-0322-7
State	Published - Jun 2009

Funding

This work was partially supported by NSF grant DMS-0605030.

Keywords

Deformation quantization
Lagrangian submanifold
Symplectic manifold

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-009-0322-7

Cite this

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title = "Oscillatory modules",

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.",

keywords = "Deformation quantization, Lagrangian submanifold, Symplectic manifold",

author = "Boris Tsygan",

note = "Funding Information: This work was partially supported by NSF grant DMS-0605030.",

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N2 - 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.

AB - 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.

KW - Deformation quantization

KW - Lagrangian submanifold

KW - Symplectic manifold

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JF - Letters in Mathematical Physics

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ER -

Oscillatory modules

Abstract

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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