Weil-Petersson Completion of Teichmüller Spaces and Mapping Class Group Actions
نویسنده
چکیده
Given a surface of higher genus, we will look at the Weil-Petersson completion of the Teichmüller space of the surface, and will study the isometric action of the mapping class group on it. The main observation is that the geometric characteristics of the setting bear strong similarities to the ones in semi-simple Lie group actions on noncompact symmetric spaces.
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