Oscilatory modules
Quantum Algebra
2015-05-13 v1 Symplectic Geometry
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
Cite
@article{arxiv.0905.0290,
title = {Oscilatory modules},
author = {Boris Tsygan},
journal= {arXiv preprint arXiv:0905.0290},
year = {2015}
}
Comments
To appear in the proceedings of Moshe Flato Memorial Conference, November, 2008, Ben Gurion University