Getzler Symbol Calculus and Deformation Quantization
Differential Geometry
2012-11-09 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1211.1755,
title = {Getzler Symbol Calculus and Deformation Quantization},
author = {Camilo Mesa},
journal= {arXiv preprint arXiv:1211.1755},
year = {2012}
}