Teichmüller空间的拓扑结构(英文)

Topological Structures of Teichmüller Spaces

研究了有限维Teichm¨uller空间上的拓扑结构,证明了有限维Teichm¨uller空间中一些拓扑结构的相互拓扑等价性。证明了可以利用黎曼曲面的长度谱定义无穷维Teichm¨uller空间上的一个度量。

Several topological structures in finite dimensional Teichmller spaces are studied. And it's proved that some topological structures in finite dimensional Teichmller spaces are topologically equivalent. A metric defined by the length spectrum of Riemann surface is given in infinite dimensionalreduced Teichmller space.