标题： 特征簇上的泊松结构。 II 显示英文标题

标题： Poisson structure on character varieties. II

摘要： 设G为一个复数半单群，D为紧黎曼曲面X上的有限子集。 在[BJ]中证明了X中D的补集的G-表示的模空间具有自然的泊松结构。 我们证明了在X上关于D奇点的对数G-联络的模空间具有泊松结构。 证明了从对数G-联络的模空间到G-表示的模空间的单值映射保持泊松结构。 显示英文摘要

摘要： Let G be a complex reductive group and D a finite subset of a compact Riemann surface X. It was shown in [BJ] that the moduli space of G-characters of the complement of D in X has a natural Poisson structure. We show that the moduli space of logarithmic G-connections on X singular over D has a Poisson structure. It is proved that the monodromy map from the moduli space of logarithmic G-connections to the moduli space of G-characters is Poisson structure preserving.