Abstract:
This thesis investigates the existence and construction of torus equivariant Poisson structures on a class of manifolds with torus action that includes all quasitoric manifolds. This is achieved through the study of reducible Poisson structures on Cm with respect to suitable torus actions using the Poisson reduction theory of Marsden and Ratiu. We also study the symplectic foliation and Poisson cohomology associated to these Poisson structures.
