Quantization of line bundles on Lagrangian subvarieties
Algebraic Geometry
2015-02-19 v2
Abstract
We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety.
Keywords
Cite
@article{arxiv.1403.3493,
title = {Quantization of line bundles on Lagrangian subvarieties},
author = {Vladimir Baranovsky and Victor Ginzburg and Dmitry Kaledin and Jeremy Pecharich},
journal= {arXiv preprint arXiv:1403.3493},
year = {2015}
}
Comments
some minor improvements, including references to the complex analytic case