Variation of Hodge Structure for Generalized Complex Manifolds
APA
Baraglia, D. (2012). Variation of Hodge Structure for Generalized Complex Manifolds. Perimeter Institute. https://pirsa.org/12050023
MLA
Baraglia, David. Variation of Hodge Structure for Generalized Complex Manifolds. Perimeter Institute, May. 06, 2012, https://pirsa.org/12050023
BibTex
@misc{ pirsa_PIRSA:12050023,
doi = {10.48660/12050023},
url = {https://pirsa.org/12050023},
author = {Baraglia, David},
keywords = {},
language = {en},
title = {Variation of Hodge Structure for Generalized Complex Manifolds},
publisher = {Perimeter Institute},
year = {2012},
month = {may},
note = {PIRSA:12050023 see, \url{https://pirsa.org}}
}
University of Adelaide
Collection
Talk Type
Abstract
Generalized complex manifolds, like complex manifolds, admit a decomposition of the bundle of di
erential 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.
erential 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.