Journal of Symplectic Geometry
Volume 9 (2011)
On the extistence of symplectic realizations
Pages: 435 – 444
We present a new proof of the existence of symplectic realizations of a Poisson manifold $(M,\pi)$. The proof consists in the construction of a symplectic form on an open neighborhood of the zero-section of the cotangent bundle of $M$, defined by an explicit global formula.