Journal article
A new construction of compact torsion-free 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/⟨ι⟩ is a G2- orbifold, with singular set L an associative submanifold of M, where the singularities are locally of the form R3×(R4/{±1}). We resolve this orbifold by gluing in a family of Eguchi–Hanson spaces, parametrized by a nonvanishing closed and coclos...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- International Press Publisher's website
- Journal:
- Journal of Differential Geometry Journal website
- Volume:
- 117
- Issue:
- 2
- Pages:
- 255-343
- Publication date:
- 2021-02-10
- Acceptance date:
- 2018-07-05
- DOI:
- EISSN:
-
1945-743X
- ISSN:
-
0022-040X
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1149895
- UUID:
-
uuid:1cb60b44-6652-42a4-a082-777497cc66b9
- Local pid:
- pubs:1149895
- Source identifiers:
-
1149895
- Deposit date:
- 2017-09-01
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- Copyright date:
- 2021
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