Equivariant gluing theory on regular instanton moduli spaces
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866929665402208256 |
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| author | Qiao, Shuaige |
| author_facet | Qiao, Shuaige |
| contents | We follow the idea of gluing theory in instanton moduli spaces and discuss the case when there is a finite group $Γ$ acting on the 4-manifolds $X_1, X_2$ with $x_1, x_2$ as isolated fixed points, how to glue two $Γ$-invariant ASD connections over $X_1, X_2$ together to get a $Γ$-invariant ASD connection on the connected sum $X_1\# X_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_09425 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Equivariant gluing theory on regular instanton moduli spaces Qiao, Shuaige Differential Geometry 57R18, 57R57, 81T13 We follow the idea of gluing theory in instanton moduli spaces and discuss the case when there is a finite group $Γ$ acting on the 4-manifolds $X_1, X_2$ with $x_1, x_2$ as isolated fixed points, how to glue two $Γ$-invariant ASD connections over $X_1, X_2$ together to get a $Γ$-invariant ASD connection on the connected sum $X_1\# X_2$. |
| title | Equivariant gluing theory on regular instanton moduli spaces |
| topic | Differential Geometry 57R18, 57R57, 81T13 |
| url | https://arxiv.org/abs/2101.09425 |