On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one

Kokotov, A. and Strachan, I.A.B. (2005) On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one. Mathematical Research Letters, 12(5-6), pp. 857-876.

Abstract

The isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one are constructed explicitly. Such spaces may be equipped with the structure of a Frobenius manifold and this introduces a flat coordinate system on the manifold. The isomonodromic tau-function, and in particular the associated $G$-function, are rewritten in these coordinates and an interpretation in terms of the caustics (where the multiplication is not semisimple) is given.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Strachan, Professor Ian
• Authors: Kokotov, A., and Strachan, I.A.B.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Mathematical Research Letters
• ISSN: 1073-2780