0909.0543 (D. Korotkin et al.)

Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular
singularities    [PDF]

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.

View original: http://arxiv.org/abs/0909.0543