Oscilatory 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.

To appear in the proceedings of Moshe Flato Memorial Conference, November, 2008, Ben Gurion University

References in corpus (1)

• An algebra of deformation quantization for star-exponentials on complex symplectic manifolds

Cited by in corpus (4)

• Quantization of Kähler manifolds
• On quantization of complex symplectic manifolds
• Bargmann-Fock sheaves on Kähler manifolds
• Batalin--Vilkovisky quantization and supersymmetric twists