From local to global deformation quantization of Poisson manifolds
Cattaneo, Alberto S. ; Felder, Giovanni ; Tomassini, Lorenzo
Duke Math. J., Tome 115 (2002) no. 1, p. 329-352 / Harvested from Project Euclid
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We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifold, based on M. Kontsevich's local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection.
Publié le : 2002-11-01
Classification:  53D55,  53D17 
@article{1085598145,
     author = {Cattaneo, Alberto S. and Felder, Giovanni and Tomassini, Lorenzo},
     title = {From local to global deformation quantization of Poisson manifolds},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 329-352},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598145}
}

Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo. From local to global deformation quantization of Poisson manifolds. Duke Math. J., Tome 115 (2002) no. 1, pp.  329-352. http://gdmltest.u-ga.fr/item/1085598145/