TANGENTIAL DEFORMATIONS ON FIBRED POISSON MANIFOLDS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Asian Journal of Mathematics Année : 2005

TANGENTIAL DEFORMATIONS ON FIBRED POISSON MANIFOLDS

Résumé

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 star products.
Fichier principal
Vignette du fichier
TangDefor.pdf (175.34 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00092824 , version 1 (12-09-2006)

Identifiants

  • HAL Id : hal-00092824 , version 1

Citer

Didier Arnal, Najla Dahmene, Angela Gammella, Mohsen Masmoudi. TANGENTIAL DEFORMATIONS ON FIBRED POISSON MANIFOLDS. Asian Journal of Mathematics, 2005, 9, pp.213-226. ⟨hal-00092824⟩
120 Consultations
129 Téléchargements

Partager

Gmail Facebook X LinkedIn More