From local to global deformation quantization of Poisson manifolds

Abstract

We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifolds, based on Kontsevich's local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection.

16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added

References in corpus (2)

• A path integral approach to the Kontsevich quantization formula
• Deformation quantization with traces

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