A New Boundary of the Mapping Class Group  

作　　者：Li Xin LIU Yao Zhong SHI 

机构地区：[1]School of Mathematics,Sun Yat-sen University,Guangzhou 510275,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第5期885-903,共19页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.11771456)。

摘　　要：Based on the action of the mapping class group on the space of measured foliations,we construct a new boundary of the mapping class group and study the structure of this boundary.As an application,for any point in Teichmüller space,we consider the orbit of this point under the action of the mapping class group and describe the closure of this orbit in the Thurston compactification and the Gardiner-Masur compactification of Teichmüller space.We also construct some new points in the Gardiner-Masur boundary of Teichmüller space.

关 键 词：Mapping class group measured foliation Teichmiller space 

分 类 号：O152.1[理学—数学]