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 Whitham hierarchy, which is an extension of the dispersionless Kadomtsev–Petviashvili hierarchy.

中文翻译：

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无限维 Frobenius 流形是无色散 Kadomtsev-Petviashvili 等级扩展的基础

摘要 我们在具有无穷远极点和可动极点的亚纯函数对空间上构造了一类无限维 Frobenius 流形。这种 Frobenius 流形被证明是 Whitham 层次结构的基础，它是无色散的 Kadomtsev-Petviashvili 层次结构的扩展。