G2-instantons on noncompact G2-manifolds: results and open problems
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 als...
| Main Authors: | , |
|---|---|
| Format: | Book section |
| Language: | English |
| Published: |
Springer US
2020
|
| _version_ | 1797070289141497856 |
|---|---|
| author | Lotay, JD Oliveira, G |
| author_facet | Lotay, JD Oliveira, G |
| author_sort | Lotay, JD |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T22:36:41Z |
| format | Book section |
| id | oxford-uuid:5a232291-1e29-4b87-8d07-2565e6161f5c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:36:41Z |
| publishDate | 2020 |
| publisher | Springer US |
| record_format | dspace |
| spelling | oxford-uuid:5a232291-1e29-4b87-8d07-2565e6161f5c2022-03-26T17:14:00ZG2-instantons on noncompact G2-manifolds: results and open problemsBook sectionhttp://purl.org/coar/resource_type/c_1843uuid:5a232291-1e29-4b87-8d07-2565e6161f5cEnglishSymplectic Elements at OxfordSpringer US2020Lotay, JDOliveira, GWe 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. |
| spellingShingle | Lotay, JD Oliveira, G G2-instantons on noncompact G2-manifolds: results and open problems |
| title | G2-instantons on noncompact G2-manifolds: results and open problems |
| title_full | G2-instantons on noncompact G2-manifolds: results and open problems |
| title_fullStr | G2-instantons on noncompact G2-manifolds: results and open problems |
| title_full_unstemmed | G2-instantons on noncompact G2-manifolds: results and open problems |
| title_short | G2-instantons on noncompact G2-manifolds: results and open problems |
| title_sort | g2 instantons on noncompact g2 manifolds results and open problems |
| work_keys_str_mv | AT lotayjd g2instantonsonnoncompactg2manifoldsresultsandopenproblems AT oliveirag g2instantonsonnoncompactg2manifoldsresultsandopenproblems |