Fromula for the Projectively Invariant Quantization on Degree Three

Abstract

We give an explicit formula for the projectively invariant quantization map between the space of symbols of degree three and the space of third-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie algebra of vector fields on a manifold.

4 pages, to appear in C.R.A.S. Paris

Cited by in corpus (7)

• Natural and projectively equivariant quantizations by means of Cartan Connections
• On natural and conformally equivariant quantizations
• Equivariant quantizations for AHS--structures
• Projectively equivariant quantizations over the superspace ${\mathbb{R}}^{p|q}$
• An explicit formula for the natural and conformally invariant quantization
• On osp(p+1,q+1|2r)-equivariant quantizations
• Explicit formula for the natural and projectively equivariant quantization