Generalized geometry and the Hodge decomposition
Differential Geometry
2007-05-23 v1
Abstract
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 -lemma of K\"ahler geometry.
Cite
@article{arxiv.math/0409093,
title = {Generalized geometry and the Hodge decomposition},
author = {Marco Gualtieri},
journal= {arXiv preprint arXiv:math/0409093},
year = {2007}
}
Comments
Lecture at the String Theory and Geometry workshop, August 2004, Oberwolfach. 7 pages