Book section
Semisimple actions of mapping class groups on CAT(0) spaces
- Abstract:
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Let Σ be an orientable surface of finite type and let Mod(Σ) be its mapping class group. We consider actions of Mod(Σ) by semisimple isometries on complete CAT(0) spaces. If the genus of Σ is at least 3, then in any such action all Dehn twists act as elliptic isometries. The action of Mod(Σ) on the completion of Teichmüller space with the Weil-Petersson metric shows that there are interesting actions of this type. Whenever the mapping class group of a closed orientable surface of genus g acts...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Author's original, pdf, 254.4KB)
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- Publisher copy:
- 10.1017/CBO9781139194266.003
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Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Pages:
- 1-14
- Host title:
- Geometry of Riemann Surfaces
- Publication date:
- 2013-05-13
- DOI:
- Source identifiers:
-
146836
- ISBN:
- 9781139194266
Item Description
- Keywords:
- Pubs id:
-
pubs:146836
- UUID:
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uuid:21d7c251-5d8c-4882-bca0-53b95ebb3acb
- Local pid:
- pubs:146836
- Deposit date:
- 2018-10-12
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- Copyright holder:
- Cambridge University Press
- Copyright date:
- 2013
- Notes:
- Copyright © 2010 Cambridge University Press. This is the author's original manuscript version of the chapter. The final version is available online from Cambridge University Press at: https://doi.org/10.1017/CBO9781139194266.003
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