Frobenius submanifolds
Differential Geometry
2015-06-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
The notion of a Frobenius submanifold - a submanifold of a Frobenius manifold which is itself a Frobenius manifold with respect to structures induced from the original manifold - is studied. Two dimensional submanifolds are particularly simple. More generally, sufficient conditions are given for a submanifold to be a so-called natural submanifold. These ideas are illustrated using examples of Frobenius manifolds constructed from Coxeter groups, and for the Frobenius manifolds governing the quantum cohomology of CP^2 and CP^1 \times CP^1.
Keywords
Cite
@article{arxiv.math/9912081,
title = {Frobenius submanifolds},
author = {I. A. B. Strachan},
journal= {arXiv preprint arXiv:math/9912081},
year = {2015}
}
Comments
23 pages. LaTeX 2e