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Frobenius submanifolds

I. A. B. Strachan
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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.

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BibTeXRIS

I. A. B. Strachan. 1999-12-10. Frobenius submanifolds. https://doi.org/10.1016/s0393-0440(00)00064-4

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