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Stacks of quantization-deformation modules on complex symplectic manifolds

Pietro Polesello·Pierre Schapira
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Abstract

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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Pietro Polesello, Pierre Schapira. 2003-08-08. Stacks of quantization-deformation modules on complex symplectic manifolds. https://arxiv.org/abs/math/0305171

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