-manifolds and coassociative torus fibration

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.

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