On the algebra of functions on a symplectic manifold we consider the pointwise product and the Poisson bracket; after a brief review of the classifications of the deformations of these structures, we give explicit formulas relating a star product to its classifying formal Poisson bivector.
@article{bwmeta1.element.bwnjournal-article-bcpv51z1p25bwm,
author = {Bonneau, Philippe},
title = {Classifications of star products and deformations of Poisson brackets},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {25-29},
zbl = {0981.53089},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p25bwm}
}
Bonneau, Philippe. Classifications of star products and deformations of Poisson brackets. Banach Center Publications, Tome 51 (2000) pp. 25-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p25bwm/
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