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

Abstract:

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/hιi is a G2-orbifold, with singular set L an associative submanifold of M, where the singularities are locally of the form R 3 × (R 4 /{±1}). We resolve this orbifold by gluing in a family of Eguchi–Hanson spaces, parametrized by a nonvanishing closed and coclo...

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Publication status:
In press
Peer review status:
Peer reviewed

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Department:
Lincoln College
Karigiannis, S More by this author
Publisher:
International Press Publisher's website
Journal:
Journal of Differential Geometry Journal website
Acceptance date:
2018-07-05
EISSN:
1945-743X
ISSN:
0022-040X
Pubs id:
pubs:713625
URN:
uri:1cb60b44-6652-42a4-a082-777497cc66b9
UUID:
uuid:1cb60b44-6652-42a4-a082-777497cc66b9
Local pid:
pubs:713625
Keywords:

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