On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case
High Energy Physics - Theory
2007-05-23 v2 Differential Geometry
Abstract
We prove an analog of the Tian-Todorov theorem for twisted generalized Calabi-Yau manifolds; namely, we show that the moduli space of generalized complex structures on a compact twisted generalized Calabi-Yau manifold is unobstructed and smooth. We also construct the extended moduli space and study its Frobenius structure. The physical implications are also discussed.
Cite
@article{arxiv.hep-th/0508030,
title = {On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case},
author = {Yi Li},
journal= {arXiv preprint arXiv:hep-th/0508030},
year = {2007}
}
Comments
28 pages; typos corrected; Lemma 2 slightly generalized and one appendix added