Symplectic and Poisson geometry on b-manifolds

Victor Guillemin, Eva Miranda, Ana Rita Pires

Let $M^{2n}$ be a Poisson manifold with Poisson bivector field $\Pi$. We say that $M$ is b-Poisson if the map ${\Pi }^n:M\to {\Lambda }^{2n}(TM)$ intersects the zero section transversally on a codi…