Cohomologies of generalized complex manifolds and nilmanifolds
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2014
- DOI:
- 10.48550/arXiv.1405.0981
- arXiv:
- arXiv:1405.0981
- Bibcode:
- 2014arXiv1405.0981A
- Keywords:
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- Mathematics - Differential Geometry;
- 57T15;
- 53D18;
- 32G07
- E-Print:
- The previous version has been completely rewritten in joint work with the further author. Comments are welcome!