Oscillatory Modules
Copyright policy )Oscillatory Modules
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.
To appear in the proceedings of Moshe Flato Memorial Conference, November, 2008, Ben Gurion University
- Northwestern University United States
- Northeastern University United States
Deformation quantization, star products, Abstract manifolds and fiber bundles (category-theoretic aspects), 53D15, deformation quantization, symplectic manifold, Lagrangian submanifold, Fukaya category, Mathematics - Symplectic Geometry, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Symplectic Geometry (math.SG)
Deformation quantization, star products, Abstract manifolds and fiber bundles (category-theoretic aspects), 53D15, deformation quantization, symplectic manifold, Lagrangian submanifold, Fukaya category, Mathematics - Symplectic Geometry, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Symplectic Geometry (math.SG)
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