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arXiv:math/0409093 [math.DG]AbstractReferencesReviewsResources

Generalized geometry and the Hodge decomposition

Marco Gualtieri

Published 2004-09-07Version 1

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 K\"ahler manifold, as well as a generalization of the $dd^c$-lemma of K\"ahler geometry.

Comments: Lecture at the String Theory and Geometry workshop, August 2004, Oberwolfach. 7 pages
Categories: math.DG
Subjects: 53C15, 53C55, 53C80
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