Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems
Mathematical Physics
2015-12-14 v2 Differential Geometry
math.MP
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.
Cite
@article{arxiv.0902.1245,
title = {Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems},
author = {Guido Carlet and Boris Dubrovin and Luca Philippe Mertens},
journal= {arXiv preprint arXiv:0902.1245},
year = {2015}
}
Comments
29 pages; to appear in Math. Ann