Deformations of holomorphic-Higgs pairs
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929501681745920 |
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| author | Ono, Takashi |
| author_facet | Ono, Takashi |
| contents | We study the deformation of the holomorphic-Higgs pair. The holomorphic-Higgs pair is a pair of a complex manifold and a Higgs bundle over it. We introduce the differential graded Lie algebra (DGLA) which comes from the deformation. We derive the Maurer-Cartan equation which governs the deformation of the holomorphic-Higgs pair, construct the Kuranishi family of it, and prove its local completeness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11495 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Deformations of holomorphic-Higgs pairs Ono, Takashi Differential Geometry We study the deformation of the holomorphic-Higgs pair. The holomorphic-Higgs pair is a pair of a complex manifold and a Higgs bundle over it. We introduce the differential graded Lie algebra (DGLA) which comes from the deformation. We derive the Maurer-Cartan equation which governs the deformation of the holomorphic-Higgs pair, construct the Kuranishi family of it, and prove its local completeness. |
| title | Deformations of holomorphic-Higgs pairs |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2212.11495 |