Generalized geometry and the Hodge decomposition

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In this lecture, we review some of the concepts of generalized geometry, as introduced by Hitchin and developed in the speaker's thesis. We also prove a Hodge decomposition for the twisted cohomology of a compact generalized Kähler manifold, as well as a generalization of the $dd^c$-lemma of Kähler geometry.
Lecture at the String Theory and Geometry workshop, August 2004, Oberwolfach. 7 pages

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Differential Geometry, 53C15; 53C55; 53C80

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http://salesiana.dossiersoluciones.com/handle/123456789/72384

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409093
 http://arxiv.org/abs/math/0409093

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arXiv