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arXiv · 2412.05849

Irregular Hodge numbers of Frenkel--Gross connections

Yichen Qin·Christian Sevenheck·Peter Spacek
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Abstract

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.

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BibTeXRIS

Yichen Qin, Christian Sevenheck, Peter Spacek. 2025-12-10. Irregular Hodge numbers of Frenkel--Gross connections. https://arxiv.org/abs/2412.05849

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