Oscilatory modules

Details Oscilatory modules Oscilatory modules

2009-05-03

arxiv.org/abs/0905.0290v1

Mathematics

Quantum Algebra

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

Scientific paper

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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