论文标题
映射类小组操作的全局固定点和马尔可维奇定理
Global fixed points of mapping class group actions and a theorem of Markovic
论文作者
论文摘要
我们通过同构映射类组的不可证明性提供了简短而基本的证据。这最初是由马尔科维奇（Markovic）建立的，它解决了瑟斯顿的猜想。借助本文建立的工具，我们还为欧几里得空间上映射类小组的动作获得了一些刚性结果。
We give a short and elementary proof of the non-realizability of the mapping class group via homeomorphisms. This was originally established by Markovic, resolving a conjecture of Thurston. With the tools established in this paper, we also obtain some rigidity results for actions of the mapping class group on Euclidean spaces.
