On Submanifolds and Deformations in Poisson Geometry KU Leuven
This thesis concerns specific classes of submanifolds in Poisson geometry. The emphasis lies on normal form statements, and we present an application in deformation theory. The results are divided into three themes. We first study coisotropic submanifolds in log-symplectic manifolds. We provide a normal form around coisotropic submanifolds transverse to the degeneracy locus, and we prove a reduction statement for coisotropic submanifolds ...