The Weil–Petersson Isometry Group

By H. Masur, Michael Wolf. 2000

79 citations recorded by the source corpus.

We prove that, for 3g−3+n>1 and (g,n)≠(1,2), the group of Weil–Petersson isometries of the Teichmüller space Tg,n coincides with the extended mapping class group.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/db0e6087ff1806a1e09e2320332b75d2264e2e92

How researchers see this paper

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In Applied Mathematics

1. S. Wolpert
2. Richard A. Wentworth
3. Georgios Daskalopoulos
4. S. Yamada
5. Dany Margalit

In Geometry and Topology

1. S. Wolpert
2. Richard A. Wentworth
3. Georgios Daskalopoulos
4. S. Yamada
5. Dany Margalit
6. Jason A. Behrstock
7. Benson Farb
8. K. Shackleton

Citations in the corpus

• Classification of Weil-Petersson isometries (2002, background): “Remark 3.3. As noted in [ MW , Remarks in §1.3], Tg,n is a complete nonpositively curved length space in the sense of Alexandrov, i.e.”
• Geometry of the Weil-Petersson completion of Teichm\ (2005, background): “They then established that the set of maximally noded surfaces forms a uniqueness set for WP isometries [31].”
• On the Geometry of Weil-Petersson Completion of Teichmüller Spaces (2004, background): “In [15] it was shown that the mapping class group is the full Weil-Petersson isometry group of the Teichmüller space.”
• Automorphisms of the pants complex (2004, result): “This is in consonance with the result of Masur and Wolf that the isometry group of TW P(S) is Mod(S) (see [10]).”