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Mathematical Research Letters
Volume 12 (2005)
Number 6
On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one
Pages: 857 – 876
DOI: https://dx.doi.org/10.4310/MRL.2005.v12.n6.a7
Authors
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.
Published 1 January 2005