Cohomologies of generalized complex manifolds and nilmanifolds

Published 5 May 2014 in math.DG | (1405.0981v4)

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.

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