Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities

Details Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities

2009-09-02

arxiv.org/abs/0909.0543v2

Physics

Mathematical Physics

Scientific paper

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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