Tangential deformations on fibred Poisson manifolds
Arnal, D. ; Dahmene, N. ; Gammella, A. ; Masmoudi, M.
Asian J. Math., Tome 9 (2005) no. 2, p. 213-226 / Harvested from Project Euclid
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In a recent article, Cattaneo, Felder and Tomassini explained how the notion of formality can be used to construct flat Fedosov connections on formal vector bundles on a Poisson manifold $M$ and thus a star product on $M$ through the original Fedosov method for symplectic manifolds. In this paper, we suppose that $M$ is a fibre bundle manifold equipped with a Poisson tensor tangential to the fibers. We show that in this case the construction of Cattaneo-Felder- Tomassini gives tangential (to the fibers) star products.
Publié le : 2005-06-14
Classification:  53D15,  53D17 
@article{1144070584,
     author = {Arnal, D. and Dahmene, N. and Gammella, A. and Masmoudi, M.},
     title = {Tangential deformations on fibred Poisson manifolds},
     journal = {Asian J. Math.},
     volume = {9},
     number = {2},
     year = {2005},
     pages = { 213-226},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1144070584}
}

Arnal, D.; Dahmene, N.; Gammella, A.; Masmoudi, M. Tangential deformations on fibred Poisson manifolds. Asian J. Math., Tome 9 (2005) no. 2, pp.  213-226. http://gdmltest.u-ga.fr/item/1144070584/