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

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

2001-12-19

arxiv.org/abs/math/0112197v2

International Journal of Math. Vol. 15, No. 3, 2004, pp 211-257

Mathematics

Differential Geometry

71pages

Scientific paper

We shall obtain unobstructed deformations of four geometric structures:
Calabi-Yau, HyperK\"ahler, $\G$ 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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