Friday, November 9, 2012

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.
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