On a complex symplectic manifold X, we construct the stack of quantization-deformation modules, that is, (twisted) modules of microdifferential operators with an extra central parameter τ, a substitute to the lack of homogeneity. We also quantize involutive submanifolds of contact manifolds.
Stacks of quantization-deformation modules on complex symplectic manifolds
POLESELLO, PIETRO;
2004
Abstract
On a complex symplectic manifold X, we construct the stack of quantization-deformation modules, that is, (twisted) modules of microdifferential operators with an extra central parameter τ, a substitute to the lack of homogeneity. We also quantize involutive submanifolds of contact manifolds.
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