Generalized geometry and the Hodge decomposition

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 Kähler manifold, as well as a generalization of the $d{d}^c$-lemma of Kähler geometry.

Lecture at the String Theory and Geometry workshop, August 2004, Oberwolfach. 7 pages

Cited by in corpus (2)

• New aspects of the ddc-lemma
• On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case