## Asian Journal of Mathematics

### Tangential deformations on fibred Poisson manifolds

#### 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.

#### Article information

Source
Asian J. Math., Volume 9, Number 2 (2005), 213-226.

Dates
First available in Project Euclid: 3 April 2006