Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems

preprint2010arXivOpen access

Abstract

We introduce a structure of an infinite-dimensional Frobenius manifold on a subspace in the space of pairs of functions analytic inside/outside the unit circle with simple poles at 0/infinity respectively. The dispersionless 2D Toda equations are embedded into a bigger integrable hierarchy associated with this Frobenius manifold.

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