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On Quantization of Complex Symplectic Manifolds

  • Andrea D’AgnoloEmail author
  • Masaki Kashiwara
Article

Abstract

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.

Keywords

Manifold Complex Manifold Symplectic Manifold Deformation Quantization Contact Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Dipartimento di Matematica Pura ed ApplicataUniversità di PadovaPadovaItaly
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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