Centroids and the Rapid Decay property in mapping class groups

Details Centroids and the Rapid Decay property in mapping class groups Centroids and the Rapid Decay property in mapping class groups

2008-10-10

arxiv.org/abs/0810.1969v3

Mathematics

Geometric Topology

v3. Numerous typos fixed and some arguments elucidated

Scientific paper

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).

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