Geometric structures on G2 and Spin (7)-manifolds
Lee, Jae-Hyouk ; Leung, Naichung Conan
Adv. Theor. Math. Phys., Tome 13 (2009) no. 1, p. 1-31 / Harvested from Project Euclid
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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.
Publié le : 2009-01-15
Classification:  
@article{1232551518,
     author = {Lee, Jae-Hyouk and Leung, Naichung Conan},
     title = {Geometric structures on G<sup>2</sup> and Spin (7)-manifolds},
     journal = {Adv. Theor. Math. Phys.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 1-31},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1232551518}
}

Lee, Jae-Hyouk; Leung, Naichung Conan. Geometric structures on G2 and Spin (7)-manifolds. Adv. Theor. Math. Phys., Tome 13 (2009) no. 1, pp.  1-31. http://gdmltest.u-ga.fr/item/1232551518/