| Résume | Résumé : This talk investigates interactions among three notions; almost regular foliations, and two generalizations of b-symplectic manifolds: E-symplectic manifolds and almost regular Poisson structures. E-manifolds are almost regular foliations with a symplectic structure. They give rise to a Poisson manifold. Almost regular Poisson manifolds are Poisson manifolds whose symplectic foliation is almost regular. These two notions differ but they are deeply connected. The holonomy groupoid of the almost regular foliation has a natural Poisson structure that one can write explicitly. In some cases this Poisson groupoid gives enough information to get the Symplectic groupoid integrating the underlying Poisson manifold. |
