表示空间与全纯向量丛(英文)

Representation Space and Holomorphic Bundles

证明了完备、定向曲面的基本群在SU(2)中的表示空间可等同于该曲面上秩为2且具有平凡行列式丛的全纯向量丛的模空间.并且它们具有射影结构.

The representation space of the fundamental group of a closed,oriented Riemannian surface is identified with the moduli space of the holomorphic bundles of rank 2 with trivial determinant bundles over the surface and these spaces are proved to carry a projective structure.