From local to global deformation quantization of Poisson manifolds
classification
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hep-thmath-phmath.DGmath.MP
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algebradeformationfunctionslocalmanifoldspoissonquantizationbundle
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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.
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