Abstract
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.
Citation
D. Arnal. N. Dahmene. A. Gammella. M. Masmoudi. "Tangential deformations on fibred Poisson manifolds." Asian J. Math. 9 (2) 213 - 226, June 2005.
Information