Twisted Higgs bundles and coendoscopy
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908826056261632 |
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| author | Groechenig, Michael Li, Xuanyou Wyss, Dimitri Ziegler, Paul |
| author_facet | Groechenig, Michael Li, Xuanyou Wyss, Dimitri Ziegler, Paul |
| contents | This short note is devoted to the study of $G$-Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of $G$-Higgs bundles in terms of coendoscopic data. We establish that stabilised point-counts and cohomology are insensitive to the central twist. Along the way we show an analogue of Ngô's product formula for twisted Hitchin fibres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09706 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Twisted Higgs bundles and coendoscopy Groechenig, Michael Li, Xuanyou Wyss, Dimitri Ziegler, Paul Algebraic Geometry This short note is devoted to the study of $G$-Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of $G$-Higgs bundles in terms of coendoscopic data. We establish that stabilised point-counts and cohomology are insensitive to the central twist. Along the way we show an analogue of Ngô's product formula for twisted Hitchin fibres. |
| title | Twisted Higgs bundles and coendoscopy |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.09706 |