Video URL
https://pirsa.org/12050023Variation of Hodge Structure for Generalized Complex Manifolds
David Baraglia University of Adelaide
Source RepositoryPIRSA
Collection
Talk Type
Conference
Abstract
Generalized complex manifolds, like complex manifolds, admit a decomposition of the bundle of dierential forms. When an analogue of the @ @ lemma holds there is a corresponding Hodge decomposition in twisted cohomology. We look at some aspects of this decomposition, in particular its behavior under deformations of generalized complex structure. We de ne period maps and show a Griths transversality result. We use Courant algebroids to develop the notion of a holomorphic family of generalized complex structures and show the period maps for such families are holomorphic.