4 papers
Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions
C. Duval, V. Ovsienko
We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-differential operators. An explicit expression in terms of hypergeometric functions with no…
Multi-parameter deformations of the module of symbols of differential operators
F. Ammar, B. Agrebaoui, V. Ovsienko
The space of symbols of differential operators on a smooth manifold (i.e., the space of symmetric contravariant tensor fields) is naturally a module over the Lie algebra of vector…
Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold
P. B. A. Lecomte, V. Yu. Ovsienko
Let be a smooth manifold, the space of polynomial on fibers functions on (i.e., of symmetric contravariant tensor fields). We compute the first cohomology space…
Schwarzian derivative related to modules of differential operators on a locally projective manifold
S. Bouarroudj, V. Ovsienko
We introduce a 1-cocycle on the group of diffeomorphisms Diff of a smooth manifold endowed with a projective connection. This cocycle represents a nontrivial cohomology cl…