53 citations · 122 across the 8 of their papers we have counts for
8 papers
Symmetries of modules of differential operators
Hichem Gargoubi, Pierre Mathonet, Valentin Ovsienko
Let be the space of tensor densities of degree (or weight) on the circle . The space of -th order linear differential operat…
Deformations of modules of differential forms
B. Agrebaoui, M. Ben Ammar, N. Ben Fraj +1
We study non-trivial deformations of the natural action of the Lie algebra on the space of differential forms on . We calculate abstra…
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…