  We prove that for regular Poisson manifolds, the zeroth homology group is
isomorphic to the top foliated cohomology group and we give some applications.
In particular, we show that for regular unimodular Poisson manifolds top
Poisson and foliated cohomology groups are isomorphic. Inspired by the
symplectic setting, we define what is a perfect Poisson manifold. We use these
Poisson homology computations to provide families of perfect Poisson manifolds.
