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Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities

Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal für die reine und angewandte Mathematik (Crelle's Journal) de Gruyter

Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities

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References (34)

Publisher
de Gruyter
Copyright
© Walter de Gruyter Berlin · New York 2011
ISSN
0075-4102
eISSN
1435-5345
DOI
10.1515/CRELLE.2011.084
Publisher site
See Article on Publisher Site

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 over a Riemann surface, study the corresponding monodromy group and compute the monodromy matrices explicitly for various special cases.

Journal

Journal für die reine und angewandte Mathematik (Crelle's Journal)de Gruyter

Published: Dec 1, 2011

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