Cohomologies of generalized complex manifolds and nilmanifolds
arXiv:1405.0981 · doi:10.1007/s12220-016-9677-z
Abstract
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.
The previous version has been completely rewritten in joint work with the further author. Comments are welcome!