A universal Higgs bundle moduli space
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914414339293184 |
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| author | Hitchin, Nigel |
| author_facet | Hitchin, Nigel |
| contents | We give a differential geometric construction of the holomorphic family of Higgs bundle moduli spaces over a curve C as a fibration over Teichmüller space. The method uses a function f defined on the character variety, essentially the energy of a harmonic map, which is dependent on the complex structure of C. Using f we define a natural family of flat Ehresmann connections parametrized by the circle which reveal various aspects of these moduli spaces and their hyperkähler metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21712 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A universal Higgs bundle moduli space Hitchin, Nigel Differential Geometry 53C26, 14H60 We give a differential geometric construction of the holomorphic family of Higgs bundle moduli spaces over a curve C as a fibration over Teichmüller space. The method uses a function f defined on the character variety, essentially the energy of a harmonic map, which is dependent on the complex structure of C. Using f we define a natural family of flat Ehresmann connections parametrized by the circle which reveal various aspects of these moduli spaces and their hyperkähler metrics. |
| title | A universal Higgs bundle moduli space |
| topic | Differential Geometry 53C26, 14H60 |
| url | https://arxiv.org/abs/2603.21712 |