Isomonodromic deformations and Hurwitz spaces
Abstract
Description
A class of Riemann-Hilbert problems corresponding to quasi-permutation monodromy matrices is solved in terms of Szegö kernel on auxiliary Riemann surfaces. The tau-function of Schlesinger system turns out to be closely related to determinant of Cauchy-Riemann operator. The link between theta-divisor and Malgrange's divisor in the theory of Schlesinger equations is established.
To appear in "Isomonodromy deformations and applications", ed. by J.Harnad and A.Its, CRM proceedings, AMS (2001)
To appear in "Isomonodromy deformations and applications", ed. by J.Harnad and A.Its, CRM proceedings, AMS (2001)