1211.1755 (Camilo Mesa)

Getzler Symbol Calculus and Deformation Quantization    [PDF]

Camilo Mesa

In this paper we give a construction of Fedosov quantization incorporating the odd variables and an analogous formula to Getzler's pseudodifferential calculus composition formula is obtained. A Fedosov type connection is constructed on the bundle of Weyl tensor Clifford algebras over the cotangent bundle of a Riemannian manifold. The quantum algebra associated with this connection is used to define a deformation of the exterior algebra of Riemannian manifolds.

View original: http://arxiv.org/abs/1211.1755