Frobenius manifolds and algebraic integrability

Details Frobenius manifolds and algebraic integrability Frobenius manifolds and algebraic integrability

2007-06-26

arxiv.org/abs/0706.3863v1

Physics

Mathematical Physics

18 pages, 1 figure, to appear in Encyclopedia of Peyresq (2007)

Scientific paper

We give a short review of Frobenius manifolds and algebraic integrability and
study their intersection. The simplest case is the relation between the
Frobenius manifold of simple singularities, which is almost dual to the
integrable open Toda chain. New types of manifolds called extra special Kaehler
and special F-manifolds are introduced which capture the intersection.

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