Sunday, June 30, 2013

0909.0543 (D. Korotkin et al.)

Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular

D. Korotkin, V. Shramchenko
In this paper we study the Fuchsian Riemann-Hilbert (inverse monodromy) problem corresponding to Frobenius structures on Hurwitz spaces. We find a solution to this Riemann-Hilbert problem in terms of integrals of certain meromorphic differentials over a basis of an appropriate relative homology space, study the corresponding monodromy group and compute the monodromy matrices explicitly for various special cases.
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