A note on quantization of complex symplectic manifolds

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.

Statement of Theorem 3.8 corrected

References in corpus (1)

• Deformation quantization modules

Cited by in corpus (1)

• On quantization of complex symplectic manifolds