Geometric structures on G2 and Spin(7)-manifolds

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This article studies the geometry of moduli spaces of G2-manifolds, associative cycles, coassociative cycles and deformed Donaldson-Thomas bundles. We introduce natural symmetric cubic tensors and differential forms on these moduli spaces. They correspond to Yukawa couplings and correlation functions in M-theory. We expect that the Yukawa coupling characterizes (co-)associative fibrations on these manifolds. We discuss the Fourier transformation along such fibrations and the analog of the Strominger-Yau-Zaslow mirror conjecture for G2-manifolds. We also discuss similar structures and transformations for Spin(7)-manifolds.
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Differential Geometry, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/144175

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202045
 http://arxiv.org/abs/math/0202045

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arXiv