Fuchsian Riemann-Hilbert problem for “real doubles” of Hurwitz Frobenius manifolds

A solution to the matrix Fuchsian Riemann-Hilbert problem (inverse monodromy problem) corresponding to “real doubles” of Dubrovin's Frobenius structures on Hurwitz spaces is constructed. The solution is given in terms of certain meromorphic differentials integrated over a basis of an appropriat...

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Veröffentlicht in:	Journal of mathematical physics 2012-07, Vol.53 (7), p.1
Hauptverfasser:	Khreibani, H., Shramchenko, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Construction Deformation Differentials Exact sciences and technology Homology Inverse Manifolds Mathematical analysis Mathematical methods in physics Mathematical problems Mathematics Matrix Physics Riemann surfaces Sciences and techniques of general use Vector space
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container_title	Journal of mathematical physics
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creator	Khreibani, H. Shramchenko, V.
description	A solution to the matrix Fuchsian Riemann-Hilbert problem (inverse monodromy problem) corresponding to “real doubles” of Dubrovin's Frobenius structures on Hurwitz spaces is constructed. The solution is given in terms of certain meromorphic differentials integrated over a basis of an appropriate relative homology space of the Riemann surface. The relationship with the solution of Fuchsian Riemann-Hilbert problem for Dubrovin's Hurwitz Frobenius manifolds is established. A solution of the Riemann-Hilbert problem corresponding to deformations of the “real doubles” is also given.
doi_str_mv	10.1063/1.4731478
format	Article
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The solution is given in terms of certain meromorphic differentials integrated over a basis of an appropriate relative homology space of the Riemann surface. The relationship with the solution of Fuchsian Riemann-Hilbert problem for Dubrovin's Hurwitz Frobenius manifolds is established. 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subjects	Construction Deformation Differentials Exact sciences and technology Homology Inverse Manifolds Mathematical analysis Mathematical methods in physics Mathematical problems Mathematics Matrix Physics Riemann surfaces Sciences and techniques of general use Vector space
title	Fuchsian Riemann-Hilbert problem for “real doubles” of Hurwitz Frobenius manifolds
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