A new construction of compact torsion-free G2-manifolds by gluing families of Eguchi–Hanson spaces

<p>We give a new construction of compact Riemannian 7-manifolds with holonomy G2. Let M be a torsion-free G2-manifold (which can have holonomy a proper subgroup of G2) such that M admits an involution ι preserving the G2-structure. Then M/⟨ι⟩ is a G2- orbifold, with singular set L an associati...

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Bibliographic Details
Main Authors: Joyce, D, Karigiannis, S
Format: Journal article
Language:English
Published: International Press 2021