Stokes phenomenon of Kloosterman and Airy connections
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914299900854272 |
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| author | Hohl, Andreas Jakob, Konstantin |
| author_facet | Hohl, Andreas Jakob, Konstantin |
| contents | We define categories of Stokes filtered and Stokes graded $G$-local systems for reductive groups $G$ and use the formalism of Tannakian categories to show that they are equivalent to the category of $G$-connections. We then use the interpretation of moduli spaces of Stokes filtered $G$-local systems as braid varieties to prove physical rigidity of two well-known families of cohomologically rigid connections, the Kloosterman and Airy connections. In the Kloosterman case, our proof relies on Steinberg's cross-section. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09582 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stokes phenomenon of Kloosterman and Airy connections Hohl, Andreas Jakob, Konstantin Algebraic Geometry 34M40, 20G20, 14D23 We define categories of Stokes filtered and Stokes graded $G$-local systems for reductive groups $G$ and use the formalism of Tannakian categories to show that they are equivalent to the category of $G$-connections. We then use the interpretation of moduli spaces of Stokes filtered $G$-local systems as braid varieties to prove physical rigidity of two well-known families of cohomologically rigid connections, the Kloosterman and Airy connections. In the Kloosterman case, our proof relies on Steinberg's cross-section. |
| title | Stokes phenomenon of Kloosterman and Airy connections |
| topic | Algebraic Geometry 34M40, 20G20, 14D23 |
| url | https://arxiv.org/abs/2404.09582 |