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arXiv · 0909.0543

Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities

D. Korotkin·V. Shramchenko
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Abstract

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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D. Korotkin, V. Shramchenko. 2013-06-26. Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities. https://doi.org/10.1007/s11005-010-0435-z

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