We study generalized complex cohomologies of generalized com- plex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the case of left-invariant generalized com- plex structures on nilmanifolds and to their space of small deformations.
Cohomologies of generalized complex manifolds and nilmanifolds / Angella, Daniele; Calamai, Simone; Kasuya, Hisashi. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - STAMPA. - 27:(2017), pp. 142-161. [10.1007/s12220-016-9677-z]
Cohomologies of generalized complex manifolds and nilmanifolds
ANGELLA, DANIELE;CALAMAI, SIMONE;
2017
Abstract
We study generalized complex cohomologies of generalized com- plex structures constructed from certain symplectic fibre bundles over complex manifolds. We apply our results in the case of left-invariant generalized com- plex structures on nilmanifolds and to their space of small deformations.
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