Strachan, I.A.B. (2003) Symmetries and solutions of Getzler's equation for Coxeter and extended affine Weyl Frobenius manifolds. International Mathematics Research Notices, 2003(19), pp. 1035-1051. (doi: 10.1155/S107379280320502X)
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Publisher's URL: http://dx.doi.org/10.1155/S107379280320502X
Abstract
The G-function associated with the semisimple Frobenius manifold Cn/W (where W is a Coxeter group or an extended affine Weyl group) is studied. The general form of the G-function is given in terms of a logarithmic singularity over caustics in the manifold. The main result in this paper is a universal formula for the G-function corresponding to the Frobenius manifold [FORMULA], where [FORMULA] is a certain extended affine Weyl group (or, equivalently, corresponding to the Hurwitz space [FORMULA]), together with the general form of the G-function in terms of data on caustics. Symmetries of the G-function are also studied.
| Item Type: | Articles |
|---|---|
| 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: | International Mathematics Research Notices |
| ISSN: | 1073-7928 |
| ISSN (Online): | 1687-0247 |
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