Author
Lotay, J
Oliveira, G
Journal title
Mathematische Annalen
DOI
10.1007/s00208-017-1636-x
Issue
1-2
Volume
371
Last updated
2024-03-16T12:57:50.597+00:00
Page
961-1011
Abstract
© 2018, The Author(s). 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× S3with its two explicitly known distinct holonomy G2metrics, 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.
Symplectic ID
956118
Favourite
On
Publication type
Journal Article
Publication date
05 Jan 2018
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