-manifolds and coassociative torus fibration

doi:10.1007/s11464-008-0004-2

Front. Math. China

2008, Vol. 3

Issue (1) : 49-77 https://doi.org/10.1007/s11464-008-0004-2

-manifolds and coassociative torus fibration

FANG Fuquan, ZHANG Yuguang

Department of Mathematics, Capital Normal University;

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Abstract Let (?₀,g₀) be a flat G₂-structure on the torus T⁷ . For a certain finite group ?-action on T⁷ preserving the G₂-structure, Joyce constructed aclosed G₂-manifold M from the resolution of the orbifold T⁷/?. The main purpose of this paper is to prove that there exist global coassociative fibrations on open submanifolds of certain Joyce manifolds.

Issue Date: 05 March 2008

Cite this article:

FANG Fuquan,ZHANG Yuguang. -manifolds and coassociative torus fibration[J]. Front. Math. China, 2008, 3(1): 49-77.

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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-008-0004-2
https://academic.hep.com.cn/fmc/EN/Y2008/V3/I1/49

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