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arXiv · 2406.08239

Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies

Shilin Ma·Chao-Zhong Wu·Dafeng Zuo
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Abstract

In this paper we construct a class of infinite-dimensional Frobenius manifolds in the spaces of pairs of meromorphic functions defined on certain regions of the Riemann sphere. For such Frobenius manifolds, we obtain their principal hierarchies and show them to be extensions of the genus-zero Whitham hierarchies.

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Shilin Ma, Chao-Zhong Wu, Dafeng Zuo. 2025-05-21. Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies. https://arxiv.org/abs/2406.08239

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