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| Format: | Preprint |
| Veröffentlicht: |
2022
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2209.11101 |
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| _version_ | 1866916109421117440 |
|---|---|
| author | Dimakis, Panagiotis |
| author_facet | Dimakis, Panagiotis |
| contents | We study the extended Bogomolny equations with gauge group $SU(2)$ on $\mathbb {R}^2 \times \mathbb {R}^+$ with generalized Nahm pole boundary conditions and nilpotent Higgs field. We completely classify solutions by relating them to certain holomorphic data through a Kobayashi-Hitchin correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_11101 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The extended Bogomolny equations on $\mathbb {R}^2 \times \mathbb {R}^+$ I: Nilpotent Higgs field Dimakis, Panagiotis Mathematical Physics Analysis of PDEs Differential Geometry 35Q99, 58J99, 53C07 We study the extended Bogomolny equations with gauge group $SU(2)$ on $\mathbb {R}^2 \times \mathbb {R}^+$ with generalized Nahm pole boundary conditions and nilpotent Higgs field. We completely classify solutions by relating them to certain holomorphic data through a Kobayashi-Hitchin correspondence. |
| title | The extended Bogomolny equations on $\mathbb {R}^2 \times \mathbb {R}^+$ I: Nilpotent Higgs field |
| topic | Mathematical Physics Analysis of PDEs Differential Geometry 35Q99, 58J99, 53C07 |
| url | https://arxiv.org/abs/2209.11101 |