Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups I

Lingrui Jiang; Si-Qi Liu; Yingchao Tian; Youjin Zhang

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arXiv · 2506.13656

Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups I

Lingrui Jiang·Si-Qi Liu·Yingchao Tian·Youjin Zhang

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Abstract

We present an approach to construct a class of generalized Frobenius manifold structures on the orbit spaces of affine Weyl groups, and prove that their monodromy groups are parabolic subgroups of the associated affine Weyl groups.

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Lingrui Jiang, Si-Qi Liu, Yingchao Tian, Youjin Zhang. 2025-06-16. Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups I. https://arxiv.org/abs/2506.13656

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