Mathematical Research Letters
Volume 12, Issue 6, November 2005 pp. 857-876.
On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and oneAuthors: Alexey Kokotov (1), and Ian A. B. Strachan (2)
Author institution: Concordia University, Canada (1), and University of Glasgow (2)
Summary: 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.
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