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Geometric structures on G2 and Spin7 manifolds

Conan Leung Chinese Univ of HK Jae-Hyouk Lee Ewha Womans Univ

Differential Geometry mathscidoc:1608.10086

ATMP, 13, 1-31, 2009
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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[ Download ] [ 2016-08-30 14:45:31 uploaded by conan ] [ 1093 downloads ] [ 0 comments ] [ Cited by 9 ] 
@inproceedings{conan2009geometric,
  title={Geometric structures on G2 and Spin7 manifolds},
  author={Conan Leung, and Jae-Hyouk Lee},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160830144531736495562},
  booktitle={ATMP},
  volume={13},
  pages={1-31},
  year={2009},
}
Conan Leung, and Jae-Hyouk Lee. Geometric structures on G2 and Spin7 manifolds. 2009. Vol. 13. In ATMP. pp.1-31. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160830144531736495562.
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