Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems

Details Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems

2009-02-09

arxiv.org/abs/0902.1245v2

Physics

Mathematical Physics

29 pages; to appear in Math. Ann

Scientific paper

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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