Physics – Mathematical Physics
Scientific paper
2007-07-04
Duke Math. J. 144, no. 1, 1-52 (2008)
Physics
Mathematical Physics
41 page, 11 figures
Scientific paper
Solutions 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.
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