Let M2n be a Poisson manifold with Poisson bivector field
. We say thatM is b-Poisson if the map n : M ! 2n(TM) intersects
the zero section transversally on a codimension one submanifold Z M.
This paper will be a systematic investigation of such Poisson manifolds.
In particular, we will study in detail the structure of (M, ) in the
neighbourhood of Z and using symplectic techniques define topological
invariants which determine the structure up to isomorphism. We also
investigate a variant of de Rham theory for these manifolds and its
connection with Poisson cohomology
CitacióGuillemin, V.; Miranda, E.; Pissarra, A.R. "Symplectic and Poisson geometry on b-manifolds". 2012.