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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 $G_2$. Let $M$ be a torsion-free $G_2$-manifold (which can have holonomy a proper subgroup of $G_2$) such that $M$ admits an involution $\iota$ preserving the $G_2$-structure. Then $M/{\langle \iota \rangle}$ is a $G_2$-orbifold, with singular set $L$ an associative submanifold of $M$, where the singularities are locally of the form $\mathbb R^3 \times (\mathbb R^4 / \{\pm 1\})$. We resolve this orbifold by gluing in a...

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Peer review status:
Not peer reviewed

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Institution:
University of Oxford
Oxford college:
Lincoln College
Role:
Author
Publication date:
2017-09-01
Language:
English
Keywords:
Pubs id:
pubs:713625
UUID:
uuid:fe9d4550-779f-46b8-ad71-e2222d4218f5
Local pid:
pubs:713625
Deposit date:
2018-07-23

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