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math.DG2008
Existence of natural and conformally invariant quantizations of arbitrary symbols
Pierre Mathonet, Fabian Radoux
A quantization over a manifold can be seen as a way to construct a differential operator with prescribed principal symbol. The quantization map is moreover required to be a linear…
math.DG2002
On the Cohomology of the spaces of differential operators acting on skewsymmetric tensor fields or on forms, as modules of the Lie algebra of vector fields
B. Agrebaoui, F. Ammar, P. Lecomte
The space of differential operators acting on skewsymmetric tensor fields or on smooth forms of a smooth manifold are representations of its Lie algebra of vector fields. We comput…