Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities
Mathematical Physics
2015-05-14 v3 math.MP
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.
Cite
@article{arxiv.0909.0543,
title = {Riemann-Hilbert problem for Hurwitz Frobenius manifolds: regular singularities},
author = {D. Korotkin and V. Shramchenko},
journal= {arXiv preprint arXiv:0909.0543},
year = {2015}
}
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final version