Geometric structures on G2 and Spin(7)-manifolds

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dc.creatorLee, Jae-Hyouk
dc.creatorLeung, Naichung Conan
dc.date2002-02-06
dc.date2007-12-14
dc.date.accessioned2026-07-07T08:49:05Z
dc.date.available2026-07-07T08:49:05Z
dc.descriptionThis 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.
dc.descriptionRevised and updated version
dc.identifierhttps://arxiv.org/abs/math/0202045
dc.identifierhttp://arxiv.org/abs/math/0202045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144175
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleGeometric structures on G2 and Spin(7)-manifolds
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