Centroids and the Rapid Decay property in mapping class groups
Geometric Topology
2014-02-26 v3 Functional Analysis
Group Theory
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).
Keywords
Cite
@article{arxiv.0810.1969,
title = {Centroids and the Rapid Decay property in mapping class groups},
author = {Jason A. Behrstock and Yair N. Minsky},
journal= {arXiv preprint arXiv:0810.1969},
year = {2014}
}
Comments
v3. Numerous typos fixed and some arguments elucidated