Centroids and the Rapid Decay property in mapping class groups
classification
🧮 math.GT
math.FAmath.GR
keywords
classdecaygroupsmappingpropertyrapidboundcentroid
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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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