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Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies (2406.08239v2)
Published 12 Jun 2024 in math-ph and math.MP
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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