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arXiv · 1211.1755

Getzler Symbol Calculus and Deformation Quantization

Camilo Mesa
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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.

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Camilo Mesa. 2012-11-08. Getzler Symbol Calculus and Deformation Quantization. https://arxiv.org/abs/1211.1755

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