Centroids and the Rapid Decay property in mapping class groups
Abstract
We study a notion of a Lipschitz, permutation-invariant "centroid" for triples of points in mapping class groups MCG(S), which satisfies a certain polynomial growth bound. A consequence (via work of Drutu-Sapir or Chatterji-Ruane) is the Rapid Decay Property for MCG(S).
- Publication:
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arXiv e-prints
- Pub Date:
- October 2008
- DOI:
- 10.48550/arXiv.0810.1969
- arXiv:
- arXiv:0810.1969
- Bibcode:
- 2008arXiv0810.1969B
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Functional Analysis;
- Mathematics - Group Theory
- E-Print:
- v3. Numerous typos fixed and some arguments elucidated