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Cohomologies of Generalized Complex Manifolds and Nilmanifolds |
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| Authors: | Daniele Angella Simone Calamai Hisashi Kasuya |
| Institution: | 1.Centro di Ricerca Matematica “Ennio de Giorgi”,Collegio Puteano, Scuola Normale Superiore,Pisa,Italy;2.Dipartimento di Matematica e Informatica “Ulisse Dini”,Università degli Studi di Firenze,Firenze,Italy;3.Department of Mathematics,Tokyo Institute of Technology,Tokyo,Japan |
| Abstract: | We study generalized complex cohomologies of generalized complex structures constructed from certain symplectic fiber 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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