SU(2)2-invariant G2-instantons
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 d...
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| Format: | Journal article |
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Springer
2018
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| _version_ | 1826273440977387520 |
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| author | Lotay, J Oliveira, G |
| author_facet | Lotay, J Oliveira, G |
| author_sort | Lotay, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T22:28:13Z |
| format | Journal article |
| id | oxford-uuid:5763aab3-7972-450d-8a5d-937fc1a76c68 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:28:13Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:5763aab3-7972-450d-8a5d-937fc1a76c682022-03-26T16:56:26ZSU(2)2-invariant G2-instantonsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5763aab3-7972-450d-8a5d-937fc1a76c68Symplectic Elements at OxfordSpringer2018Lotay, JOliveira, GWe 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. |
| spellingShingle | Lotay, J Oliveira, G SU(2)2-invariant G2-instantons |
| title | SU(2)2-invariant G2-instantons |
| title_full | SU(2)2-invariant G2-instantons |
| title_fullStr | SU(2)2-invariant G2-instantons |
| title_full_unstemmed | SU(2)2-invariant G2-instantons |
| title_short | SU(2)2-invariant G2-instantons |
| title_sort | su 2 2 invariant g2 instantons |
| work_keys_str_mv | AT lotayj su22invariantg2instantons AT oliveirag su22invariantg2instantons |