Riemann�CHilbert Problems for Hurwitz Frobenius Manifolds |
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| Authors: | Dmitry Korotkin Vasilisa Shramchenko |
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| Institution: | 1. Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, QC, H3G 1M8, Canada
2. D??partement de Math??matiques, Universit?? de Sherbrooke, 2500 boul. de l??Universit??, Sherbrooke, QC, J1K 2R1, Canada
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| Abstract: | In this paper we give an overview of the solutions of Fuchsian and non-Fuchsian Riemann-Hilbert problems associated with Frobenius manifold structures on Hurwitz spaces found in recent works of the authors. We show that by an application of an appropriate Laplace transform, one can derive solutions of the non-Fuchsian Riemann-Hilbert problem from the more recent construction of solutions of the Fuchsian linear system written in terms of meromorphic differentials on Riemann surfaces. |
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