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23 April 2024

» arxiv » math.QA/0012228

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From local to global deformation quantization of Poisson manifolds
Alberto S. Cattaneo ; Giovanni Felder ; Lorenzo Tomassini ;
Date:	22 Dec 2000
Subject:	Quantum Algebra; Differential Geometry; Mathematical Physics \| math.QA hep-th math-ph math.DG math.MP
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.
Source:	arXiv, math.QA/0012228
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