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The following article is Open access

The Fedosov deformation quantization with the induced symplectic connection

Published under licence by IOP Publishing Ltd
, , Citation J Tosiek 2008 J. Phys.: Conf. Ser. 128 012024 DOI 10.1088/1742-6596/128/1/012024

1742-6596/128/1/012024

Abstract

A symplectic connection on a cotangent bundle T* M induced by a Levi-Civita connection on a configuration space M is constructed. General properties of an Abelian connection built from the induced symplectic connection are presented. An example of a finite Abelian connection determined by the induced symplectic connection has been found.

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10.1088/1742-6596/128/1/012024