Moduli spaces of topological calibrations, Calabi-Yau, HyperK\"ahler, $G_2$ and Spin(7) structures
Differential Geometry
2009-07-16 v2
Abstract
We shall obtain unobstructed deformations of four geometric structures: Calabi-Yau, HyperK\"ahler, and Spin(7) structures in terms of closed differential forms (calibrations). We develop a direct and unified construction of smooth moduli spaces of these four geometric structures and show that the local Torelli type theorem holds in a systematic way.
Keywords
Cite
@article{arxiv.math/0112197,
title = {Moduli spaces of topological calibrations, Calabi-Yau, HyperK\"ahler, $G_2$ and Spin(7) structures},
author = {Ryushi Goto},
journal= {arXiv preprint arXiv:math/0112197},
year = {2009}
}
Comments
71pages