Stacks of quantization-deformation modules on complex symplectic manifolds

Details Stacks of quantization-deformation modules on complex symplectic manifolds Stacks of quantization-deformation modules on complex symplectic manifolds

2003-05-12

arxiv.org/abs/math/0305171v2

Int. Math. Res. Not. 49 (2004), pp. 2637-2664

Mathematics

Algebraic Geometry

In this new version, we have deleted from the previous one Lemma 7.6, Proposition 7.7 and Proposition 7.8 which were erroneous

Scientific paper

On a complex symplectic manifold, we construct the stack of
quantization-deformation modules, that is, (twisted) modules of
microdifferential operators with an extra central parameter, a substitute to
the lack of homogeneity. We also quantize involutive submanifolds of contact
manifolds.

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