Stacks of quantization-deformation modules on complex symplectic manifolds
Algebraic Geometry
2007-05-23 v2 Symplectic Geometry
Abstract
On a complex symplectic manifold, we construct the stack of quantization-deformation modules, that is, (twisted) modules of microdifferential operators with an extra central parameter, a substitute to the lack of homogeneity. We also quantize involutive submanifolds of contact manifolds.
Cite
@article{arxiv.math/0305171,
title = {Stacks of quantization-deformation modules on complex symplectic manifolds},
author = {Pietro Polesello and Pierre Schapira},
journal= {arXiv preprint arXiv:math/0305171},
year = {2007}
}
Comments
In this new version, we have deleted from the previous one Lemma 7.6, Proposition 7.7 and Proposition 7.8 which were erroneous