Moduli spaces of topological calibrations, Calabi-Yau, HyperKähler, G2 and Spin(7) Structures

  title={Moduli spaces of topological calibrations, Calabi-Yau, HyperK{\"a}hler, G2 and Spin(7) Structures},
  author={HyperK{\"a}hler Calabi-Yau},
  • HyperKähler Calabi-Yau
  • Published 2002
We shall obtain unobstructed deformations of four geometric structures: Calabi-Yau, HyperKähler, G2 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. §0. Introduction There has been considerable interest recently in Riemannian manifolds with vanishing Ricci tensor. The list of holonomy group of… CONTINUE READING

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