Moduli spaces of topological calibrations, Calabi-Yau, HyperK\"ahler, G2 and Spin(7) structures
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.
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