Semiprojectivity of the moduli of principal $G$-bundles with $λ$-connections
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911474764480512 |
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| author | Roy, Sumit Singh, Anoop |
| author_facet | Roy, Sumit Singh, Anoop |
| contents | Let $X$ be a compact connected Riemann surface of genus $g \geq 2$ and $G$ a connected reductive affine algebraic group over $\mathbb{C}$. We prove the semiprojectivity of the moduli spaces of semistable $G$-Higgs bundles and $G$-bundles with $λ$-connections of fixed topological type $d\in π_1(G)$. As an application, in the smooth case we describe the resulting Bialynicki - Birula decomposition and derive cohomological and motivic consequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15652 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semiprojectivity of the moduli of principal $G$-bundles with $λ$-connections Roy, Sumit Singh, Anoop Algebraic Geometry 14D20, 14D23, 70G45, 14H60 Let $X$ be a compact connected Riemann surface of genus $g \geq 2$ and $G$ a connected reductive affine algebraic group over $\mathbb{C}$. We prove the semiprojectivity of the moduli spaces of semistable $G$-Higgs bundles and $G$-bundles with $λ$-connections of fixed topological type $d\in π_1(G)$. As an application, in the smooth case we describe the resulting Bialynicki - Birula decomposition and derive cohomological and motivic consequences. |
| title | Semiprojectivity of the moduli of principal $G$-bundles with $λ$-connections |
| topic | Algebraic Geometry 14D20, 14D23, 70G45, 14H60 |
| url | https://arxiv.org/abs/2310.15652 |