Strachan, I.A.B. (2001) Frobenius submanifolds. Journal of Geometry and Physics, 38(3-4), pp. 285-307. (doi: 10.1016/S0393-0440(00)00064-4)
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Publisher's URL: http://dx.doi.org/10.1016/S0393-0440(00)00064-4
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 Frobenius manifold — is studied. Two-dimensional submanifolds are particularly simple. More generally, sufficient conditions are given for a submanifold to be a so-called natural Frobenius submanifold. These ideas are illustrated using examples of Frobenius manifolds constructed from Coxeter groups, and for the Frobenius manifolds governing the quantum cohomology of CP2 and CP1 X CP1.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Strachan, Professor Ian |
Authors: | Strachan, I.A.B. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Geometry and Physics |
ISSN: | 0393-0440 |
Published Online: | 09 May 2001 |
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