Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$-bundles
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916880231432192 |
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| author | R., Pedro L. del Angel Neumann, Frank |
| author_facet | R., Pedro L. del Angel Neumann, Frank |
| contents | For a semisimple complex algebraic group $G$ we determine the rational cohomology and the Hodge-Tate structure of the moduli stack ${\mathscr B}un_{G,X}$ of principal $G$-bundles over a connected smooth complex projective variety $X$ of special type using the homotopy theory of the underlying topological stack. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$-bundles R., Pedro L. del Angel Neumann, Frank Algebraic Geometry Algebraic Topology Primary 14D20, 14A20. Secondary 14C30, 14H60 For a semisimple complex algebraic group $G$ we determine the rational cohomology and the Hodge-Tate structure of the moduli stack ${\mathscr B}un_{G,X}$ of principal $G$-bundles over a connected smooth complex projective variety $X$ of special type using the homotopy theory of the underlying topological stack. |
| title | Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$-bundles |
| topic | Algebraic Geometry Algebraic Topology Primary 14D20, 14A20. Secondary 14C30, 14H60 |
| url | https://arxiv.org/abs/2405.17113 |