A surgery for generalized complex structures on 4-manifolds

We introduce a surgery for generalized complex manifolds whose input is a symplectic 4-manifold containing a symplectic 2-torus with trivial normal bundle and whose output is a 4-manifold endowed with a generalized complex structure exhibiting type change along a 2-torus. Performing this surgery on a K3 surface, we obtain a generalized complex structure on 3CP²#19CP², which has vanishing Seiberg–Witten invariants and hence does not admit complex or symplectic structures.