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math.QA2001★ 25 cited
Fedosov connections on jet bundles and deformation quantization
Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini
We review our construction of star-products on Poisson manifolds and discuss some examples. In particular, we work out the relation with Fedosov's original construction in the symp…
math.QA2000★ 63 cited
From local to global deformation quantization of Poisson manifolds
Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini
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 func…