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Irregular Hodge numbers of Frenkel--Gross connections

2024/12/08 by Yichen Qin, Christian Sevenheck, Qin, Yichen +3
Mathematics · #14D07 #14M17 #20G20 #32C38 #32S40 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2412.05849

openalex publication_date 2024/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Frenkel and Gross constructed a family of connections on ℙ1\backslash\0,∞\, for almost simple groups \checkG 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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