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G2-instantons on noncompact G2-manifolds: results and open problems

Abstract:
We survey the known existence and non-existence results for G2 -instantons on non-compact cohomogeneity-1 G2 -manifolds and their consequences, including an explicit example of a family of G2 -instantons where bubbling, removable singularities and conservation of energy phenomena occur. We also describe several open problems for future research.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-1-0716-0577-6_13
Publication website:
https://www.springer.com/gp/book/9781071605769

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Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author
ORCID:
0000-0002-0456-4538
Publisher:
Springer US Publisher's website
Pages:
287-317
Series:
Fields Institute Communications
Series number:
84
Host title:
Lectures and Surveys on G2 Manifolds and Related Topics
Publication date:
2020-05-27
Acceptance date:
2018-12-26
DOI:
EISBN:
978-1-07-160577-6
ISSN:
1069-5265
Source identifiers:
968674
ISBN:
978-1-07-160576-9
Language:
English
Keywords:
Subtype:
Chapter
Pubs id:
pubs:968674
UUID:
uuid:5a232291-1e29-4b87-8d07-2565e6161f5c
Local pid:
pubs:968674
Deposit date:
2019-02-04

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