Examples of deformed G2-instantons/Donaldson–Thomas connections
In this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson–Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Association des Annales de l'Institut Fourier
2022
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| _version_ | 1826308159111692288 |
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| author | Lotay, JD Oliveira, G |
| author_facet | Lotay, JD Oliveira, G |
| author_sort | Lotay, JD |
| collection | OXFORD |
| description | In this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson–Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G2-instantons with obstructed deformation theory and situations where the moduli space of deformed G2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern–Simons type functional which has deformed G2-instantons as critical points. |
| first_indexed | 2024-03-07T07:15:20Z |
| format | Journal article |
| id | oxford-uuid:6cf80fd8-7596-48e9-94d1-33a98c11f409 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:15:20Z |
| publishDate | 2022 |
| publisher | Association des Annales de l'Institut Fourier |
| record_format | dspace |
| spelling | oxford-uuid:6cf80fd8-7596-48e9-94d1-33a98c11f4092022-07-28T11:51:58ZExamples of deformed G2-instantons/Donaldson–Thomas connectionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6cf80fd8-7596-48e9-94d1-33a98c11f409EnglishSymplectic ElementsAssociation des Annales de l'Institut Fourier2022Lotay, JDOliveira, GIn this note, we provide the first non-trivial examples of deformed G2-instantons, originally called deformed Donaldson–Thomas connections. As a consequence, we see how deformed G2-instantons can be used to distinguish between nearly parallel G2-structures and isometric G2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G2-instantons with obstructed deformation theory and situations where the moduli space of deformed G2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern–Simons type functional which has deformed G2-instantons as critical points. |
| spellingShingle | Lotay, JD Oliveira, G Examples of deformed G2-instantons/Donaldson–Thomas connections |
| title | Examples of deformed G2-instantons/Donaldson–Thomas connections |
| title_full | Examples of deformed G2-instantons/Donaldson–Thomas connections |
| title_fullStr | Examples of deformed G2-instantons/Donaldson–Thomas connections |
| title_full_unstemmed | Examples of deformed G2-instantons/Donaldson–Thomas connections |
| title_short | Examples of deformed G2-instantons/Donaldson–Thomas connections |
| title_sort | examples of deformed g2 instantons donaldson thomas connections |
| work_keys_str_mv | AT lotayjd examplesofdeformedg2instantonsdonaldsonthomasconnections AT oliveirag examplesofdeformedg2instantonsdonaldsonthomasconnections |