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arXiv · 2005.05204

Infinite-dimensional Frobenius Manifolds Underlying the Universal Whitham Hierarchy

Shilin Ma·Chao-Zhong Wu·Dafeng Zuo
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Abstract

We construct a class of infinite-dimensional Frobenius manifolds on the spaces of pairs of meromorphic functions with a pole at infinity and a movable pole. Such Frobenius manifolds are shown to be underlying the universal Whitham hierarchy, which is an extension of the dispersionless Kadomtsev-Petviashvili hierarchy.

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Shilin Ma, Chao-Zhong Wu, Dafeng Zuo. 2020-05-11. Infinite-dimensional Frobenius Manifolds Underlying the Universal Whitham Hierarchy. https://arxiv.org/abs/2005.05204

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