On quantization of complex symplectic manifolds

Details On quantization of complex symplectic manifolds On quantization of complex symplectic manifolds

2010-08-31

arxiv.org/abs/1008.5273v2

Mathematics

Algebraic Geometry

38 pages

Scientific paper

Let X be a complex symplectic manifold. By showing that any Lagrangian subvariety has a unique lift to a contactification, we associate to X a triangulated category of regular holonomic microdifferential modules. If X is compact, this is a Calabi-Yau category of complex dimension dim X+1. We further show that regular holonomic microdifferential modules can be realized as modules over a quantization algebroid canonically associated to X.

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