Weil-Petersson Completion of Teichmueller Spaces and Mapping Class Group Actions

Details Weil-Petersson Completion of Teichmueller Spaces and Mapping Class Group Actions Weil-Petersson Completion of Teichmueller Spaces and Mapping Class Group Actions

2001-11-30

arxiv.org/abs/math/0112001v1

Mathematics

Differential Geometry

30 pages latex

Scientific paper

Given a surface of higher genus, we will look at the Weil-Petersson
completion of the Teichmuller 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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