Isomonodromic deformations and Hurwitz spaces
数学物理
2007-05-23 v1 math.MP
摘要
A class of Riemann-Hilbert problems corresponding to quasi-permutation monodromy matrices is solved in terms of Szeg\"o 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.
关键词
引用
@article{arxiv.math-ph/0103023,
title = {Isomonodromic deformations and Hurwitz spaces},
author = {D. Korotkin},
journal= {arXiv preprint arXiv:math-ph/0103023},
year = {2007}
}
备注
To appear in "Isomonodromy deformations and applications", ed. by J.Harnad and A.Its, CRM proceedings, AMS (2001)