Cohomologies of generalized complex manifolds and nilmanifolds
Differential Geometry
2017-12-12 v4
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.
Keywords
Cite
@article{arxiv.1405.0981,
title = {Cohomologies of generalized complex manifolds and nilmanifolds},
author = {Daniele Angella and Simone Calamai and Hisashi Kasuya},
journal= {arXiv preprint arXiv:1405.0981},
year = {2017}
}
Comments
The previous version has been completely rewritten in joint work with the further author. Comments are welcome!