Quantization of vector bundles on Lagrangian subvarieties
Algebraic Geometry
2017-01-09 v1
Abstract
We consider a smooth Lagrangian subvariety Y in a smooth algebraic variety X with an algebraic symplectic from. For a vector bundle E on Y and a choice Oh of deformation quantization of the structure sheaf of X, we establish when E admits a deformation quantization to a module over Oh. If the necessary conditions hold, we describe the set of equivalence classes of such quantizations.
Cite
@article{arxiv.1701.01542,
title = {Quantization of vector bundles on Lagrangian subvarieties},
author = {Vladimir Baranovsky and Taiji Chen},
journal= {arXiv preprint arXiv:1701.01542},
year = {2017}
}