20 citations · 44 across the 7 of their papers we have counts for
8 papers
On quantizations of complex contact manifolds
Pietro Polesello
A (holomorphic) quantization of a complex contact manifold is a filtered algebroid stack which is locally equivalent to the ring E of microdifferential operators and which has triv…
Morita classes of microdifferential algebroids
Andrea D'Agnolo, Pietro Polesello
Projective cotangent bundles of complex manifolds are the local models of complex contact manifolds. Such bundles are quantized by the algebra of microdifferential operators (a loc…
Uniqueness of quantization of complex contact manifolds
Pietro Polesello
Using the language of algebroid stacks, we will show that Kashiwara's quantization of a complex contact manifold is unique.
Classification of deformation quantization algebroids on complex symplectic manifolds
Pietro Polesello
Deformation quantization algebroids over a complex symplectic manifold X are locally given by rings of WKB operators, that is, microdifferential operators with an extra central par…
Higher Monodromy
Pietro Polesello, Ingo Waschkies
For a given category C and a topological space X, the constant stack on X with stalk C is the stack of locally constant sheaves with values in C. Its global objects are classified…
Deformation-Quantization of Complex Involutive Submanifolds
Andrea D'Agnolo, Pietro Polesello
The sheaf of rings of WKB operators provides a deformation-quantization of the cotangent bundle to a complex manifold. On a complex symplectic manifold there may not exist a sh…