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

Differential Geometry 2026-01-13 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2506.13656,
  title  = {Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups I},
  author = {Lingrui Jiang and Si-Qi Liu and Yingchao Tian and Youjin Zhang},
  journal= {arXiv preprint arXiv:2506.13656},
  year   = {2026}
}