MENU

You are here

Infinite-dimensional Frobenius manifolds for 2 + 1 integrable systems

TitleInfinite-dimensional Frobenius manifolds for 2 + 1 integrable systems
Publication TypeJournal Article
Year of Publication2011
AuthorsCarlet, G, Dubrovin, B, Mertens, LP
JournalMatematische Annalen 349 (2011) 75-115
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.

URLhttp://hdl.handle.net/1963/3584
DOI10.1007/s00208-010-0509-3

Sign in