ISOMONODROMY EQUATIONS ON ALGEBRAIC CURVES, CANONICAL TRANSFORMATIONS AND WHITHAM EQUATIONS

被引：43
|
作者：
Krichever, I. [1 ,2 ,3 ]
机构：
[1] Columbia Univ, New York, NY 10027 USA
[2] LD Landau Theoret Phys Inst, Moscow, Russia
[3] ITEP, Moscow, Russia
来源：
MOSCOW MATHEMATICAL JOURNAL | 2002年 / 2卷 / 04期
基金：
美国国家科学基金会;
关键词：
Algebaric curves; meromorphic connections; monodromy matrices; Hamiltonian theory; symplectic form;
D O I：
10.17323/1609-4514-2002-2-4-717-752
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct the Hamiltonian theory of isomonodromy equations for meromorphic connections with irregular singularities on algebraic curves. We obtain an explicit formula for the symplectic structure on the space of monodromy and Stokes matrices. From these we derive Whitham equations for the isomonodromy equations. It is shown that they provide a flat connection on the space of spectral curves of Hitchin systems.
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页码：717 / 752
页数：36
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