SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915070084120576 |
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| author | Matthies, Karsten Nordström, Johannes Turner, Matt |
| author_facet | Matthies, Karsten Nordström, Johannes Turner, Matt |
| contents | We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a solution on the G_2-cone. From this we obtain a 1-parameter family of invariant instantons with gauge group SU(2) and bounded curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_05028 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family Matthies, Karsten Nordström, Johannes Turner, Matt Differential Geometry Dynamical Systems 53C07, 53C25 We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a solution on the G_2-cone. From this we obtain a 1-parameter family of invariant instantons with gauge group SU(2) and bounded curvature. |
| title | SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family |
| topic | Differential Geometry Dynamical Systems 53C07, 53C25 |
| url | https://arxiv.org/abs/2202.05028 |