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

Ryushi Goto
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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.

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Ryushi Goto. 2002-05-10. Moduli spaces of topological calibrations, Calabi-Yau, HyperKähler, $G_2$ and Spin(7) structures. https://arxiv.org/abs/math/0112197

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