Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: irregular singularity

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dc.creatorShramchenko, Vasilisa
dc.date2007-07-04
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:03:53Z
dc.date.available2026-07-07T10:03:53Z
dc.descriptionSolutions to the Riemann-Hilbert problems with irregular singularities naturally associated to semisimple Frobenius manifold structures on Hurwitz spaces (moduli spaces of meromorphic functions on Riemann surfaces) are constructed. The solutions are given in terms of meromorphic bidifferentials defined on the underlying Riemann surface. The relationship between different classes of Frobenius manifold structures on Hurwitz spaces (real doubles, deformations) is described on the level of the corresponding Riemann-Hilbert problems.
dc.description41 page, 11 figures
dc.identifierhttps://arxiv.org/abs/0707.0696
dc.identifierhttp://arxiv.org/abs/0707.0696
dc.identifierDuke Math. J. 144, no. 1, 1-52 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169462
dc.subjectMathematical Physics
dc.titleRiemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: irregular singularity
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