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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.12981 |
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| _version_ | 1866913322262069248 |
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| author | Hitchin, Nigel |
| author_facet | Hitchin, Nigel |
| contents | We investigate the geometry of holomorphic vector bundles $E$ over a Riemann surface $C$ together with a section of the endomorphism bundle tensored with $K^{1/2}$ -- a square root of the canonical bundle $K$. These parallel to some extent the various features of usual Higgs bundles, such as spectral curve constructions, but some features are radically different. We make essential use of the mod 2 index to distinguish two families of moduli spaces, and provide examples in low genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12981 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spinor-valued Higgs fields Hitchin, Nigel Algebraic Geometry 14H60 We investigate the geometry of holomorphic vector bundles $E$ over a Riemann surface $C$ together with a section of the endomorphism bundle tensored with $K^{1/2}$ -- a square root of the canonical bundle $K$. These parallel to some extent the various features of usual Higgs bundles, such as spectral curve constructions, but some features are radically different. We make essential use of the mod 2 index to distinguish two families of moduli spaces, and provide examples in low genus. |
| title | Spinor-valued Higgs fields |
| topic | Algebraic Geometry 14H60 |
| url | https://arxiv.org/abs/2404.12981 |