Moduli spaces of topological calibrations, Calabi-Yau, HyperKähler, $G_2$ and Spin(7) structures

Abstract

We shall obtain unobstructed deformations of four geometric structures: Calabi-Yau, HyperKähler, $\G$ 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.

arXiv comment71pages

References in corpus (1)

• The geometry of three-forms in six and seven dimensions