Irregular Hodge numbers of Frenkel--Gross connections
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911310541750272 |
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| author | Qin, Yichen Sevenheck, Christian Spacek, Peter |
| author_facet | Qin, Yichen Sevenheck, Christian Spacek, Peter |
| contents | Frenkel and Gross constructed a family of connections on $\mathbb{P}^1\backslash\{0,\infty\}$, for almost simple groups $\check{G}$ and their representations. In this article, we calculate the irregular Hodge numbers of these Frenkel--Gross connections, and, as an application, we prove a conjecture of Katzarkov--Kontsevich--Pantev for mirror Landau-Ginzburg models of minuscule homogeneous spaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_05849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irregular Hodge numbers of Frenkel--Gross connections Qin, Yichen Sevenheck, Christian Spacek, Peter Algebraic Geometry 32C38, 32S40, 20G20, 14M17, 14D07 Frenkel and Gross constructed a family of connections on $\mathbb{P}^1\backslash\{0,\infty\}$, for almost simple groups $\check{G}$ and their representations. In this article, we calculate the irregular Hodge numbers of these Frenkel--Gross connections, and, as an application, we prove a conjecture of Katzarkov--Kontsevich--Pantev for mirror Landau-Ginzburg models of minuscule homogeneous spaces. |
| title | Irregular Hodge numbers of Frenkel--Gross connections |
| topic | Algebraic Geometry 32C38, 32S40, 20G20, 14M17, 14D07 |
| url | https://arxiv.org/abs/2412.05849 |