A note on quantization of complex symplectic manifolds

Details A note on quantization of complex symplectic manifolds A note on quantization of complex symplectic manifolds

2010-06-02

arxiv.org/abs/1006.0306v2

Mathematics

Algebraic Geometry

Statement of Theorem 3.8 corrected

Scientific paper

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.

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