V. Ovsienko

activity

19952023

most citedDifferential operators on supercircle: conformally equivariant quantization and symbol calculus

70 citations · 395 across the 55 of their papers we have counts for

collaborators

Showing 1998Show all

4 papers · 1 filter

math.QA1998★ 18 cited

Deforming the Lie algebra of vector fields on $S^{1}$ inside the Lie algebra of pseudodifferential symbols on $S^{1}$

C. Roger, V. Ovsienko

We classify nontrivial deformations of the standard embedding of the Lie algebra $\Vect(S^1)$ of smooth vector fields on the circle, into the Lie algebra~$\PD(S^1)$ of pseudodiffer…

math.DG1998

Lorentzian worldlines and Schwarzian derivative

C. Duval, V. Ovsienko

We relate in this note the classical Schwarzian derivative to the curvature of time-like curves in Lorentz surfaces of constant curvature.

math.DG1998★ 22 cited

Projectively equivariant symbol calculus

P. B. A. Lecomte, V. Yu. Ovsienko

The spaces of linear differential operators on $R^{n}$ acting on tensor densities of degree $λ$ and the space of functions on $T^{*} R^{n}$ which are polynomial on t…

math.DG1998★ 24 cited

Conformally equivariant quantization

C. Duval, V. Ovsienko

Let $(M, g)$ be a pseudo-Riemannian manifold and $F_{λ} (M)$ the space of densities of degree $λ$ on $M$ . We study the space $D_{λ, μ}^{2} (M)$ of second-order differential operators from…

Deforming the Lie algebra of vector fields on S1 inside the Lie algebra of pseudodifferential symbols on S1

Lorentzian worldlines and Schwarzian derivative

Projectively equivariant symbol calculus

Conformally equivariant quantization

Deforming the Lie algebra of vector fields on $S^{1}$ inside the Lie algebra of pseudodifferential symbols on $S^{1}$