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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 over a Riemann surface, study the corresponding monodromy group and compute the monodromy matrices explicitly for various special cases.
Journal für die reine und angewandte Mathematik (Crelle's Journal) – de Gruyter
Published: Dec 1, 2011
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