A note on quantization of complex symplectic manifolds
Algebraic Geometry
2010-08-27 v2 Quantum Algebra
Abstract
To a complex symplectic manifold X we associate a canonical quantization algebroid. Our construction is similar to that of Polesello-Schapira's deformation-quantization algebroid, but the deformation parameter is no longer central. If X is compact, the triangulated category of regular holonomic quantization modules is a linear complex Calabi-Yau category of dimension 1 + dim X.
Cite
@article{arxiv.1006.0306,
title = {A note on quantization of complex symplectic manifolds},
author = {Andrea D'Agnolo and Masaki Kashiwara},
journal= {arXiv preprint arXiv:1006.0306},
year = {2010}
}
Comments
Statement of Theorem 3.8 corrected