Cohomologies of generalized complex manifolds and nilmanifolds
  We study generalized complex cohomologies of generalized complex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the case of left-invariant generalized complex structures on nilmanifolds and to their space of small deformations. 
Daniele Angella, Simone Calamai, Hisashi Kasuya
math.DG