Journal article
SU(2)2-invariant G2-instantons
- Abstract:
- We initiate the systematic study of G2-instantons with SU(2)2-symmetry. As well as developing foundational theory, we give existence, non-existence and classification results for these instantons. We particularly focus on R4×S3 with its two explicitly known distinct holonomy G2 metrics, which have different volume growths at infinity, exhibiting the different behaviour of instantons in these settings. We also give an explicit example of sequences of G2-instantons where “bubbling” and “removable singularity” phenomena occur in the limit.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 620.9KB, Terms of use)
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- Publisher copy:
- 10.1007/s00208-017-1636-x
Authors
- Publisher:
- Springer
- Journal:
- Mathematische Annalen More from this journal
- Volume:
- 371
- Issue:
- 1-2
- Pages:
- 961-1011
- Publication date:
- 2018-01-05
- Acceptance date:
- 2017-12-26
- DOI:
- EISSN:
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1432-1807
- ISSN:
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0025-5831
- Pubs id:
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pubs:956118
- UUID:
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uuid:5763aab3-7972-450d-8a5d-937fc1a76c68
- Local pid:
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pubs:956118
- Source identifiers:
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956118
- Deposit date:
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2019-02-04
- ARK identifier:
Terms of use
- Copyright holder:
- Lotay et al
- Copyright date:
- 2018
- Notes:
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© The Author(s) 2018
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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