Local forms and surgeries in generalized complex 4 manifolds

Branes in a generic generalized complex 4-manifold can be  either points in the complex locus, Lagrangians intersecting the    complex locus at a few points and the complex locus itself. A   neighborhood of each such brane is determined by data on the brane.  Some of these neighborhoods resemble a neighborhood of a Lagrangian   manifold in a symplectic manifold while other are related to complex  submanifolds and holomorphic Poisson structures. We will present the  neighborhood theorems and as applications, will introduce surgeries on  generalized complex 4-manifolds.