Pierre B. A. Lecomte

Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

We prove the existence of star-products and of formal deformations of the Poisson Lie algebra of an arbitrary symplectic manifold. Moreover, all the obstructions encountered in the step-wise construction of formal deformations are vanishing.

Projectively Equivariant Symbol Calculus

AbstractThe spaces of linear differential operators

Formal Deformations of the Poisson Lie Algebra of a Symplectic Manifold and Star-Products. Existence, Equivalence, Derivations

D_\lambda (\mathbb{R}^n )

Cohomology of the Vector Fields Lie Algebra and Modules of Differential Operators on a Smooth Manifold

acting on λ-densities on

Towards Projectively Equivariant Quantization

\mathbb{R}^n

Explicit form and convergence of 1-differential formal deformations of the poisson Lie algebra

and the space