标题： 代数曲线上的等单值性方程，规范变换和Whitham方程 显示英文标题

标题： Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations

摘要： 哈密顿理论关于代数曲线上的具有不规则奇点的解析联络的等单变性方程被构建。 在单值和斯托克斯矩阵空间上获得了辛结构的显式公式。 得到了等单变性方程的维塔姆方程。 表明它们在希钦系统的谱曲线空间上提供了平坦联络。 显示英文摘要

摘要： The Hamiltonian theory of isomonodromy equations for meromorphic connections with irregular singularities on algebraic curves is constructed. An explicit formula for the symplectic structure on the space of monodromy and Stokes matrices is obtained. The Whitham equations for the isomonodromy equations are derived. It is shown that they provide a flat connection on the space of the spectral curves of the Hitchin systems.