2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146784We 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 addedQuantum AlgebraHigh Energy Physics - TheoryMathematical PhysicsDifferential GeometryFrom local to global deformation quantization of Poisson manifoldstext