71 citations · 267 across the 25 of their papers we have counts for
Showing 2005 · math.GTShow all
3 papers · 2 filters
math.GT2005★ 25 cited
Geometry of the mapping class groups III: Quasi-isometric rigidity
Ursula Hamenstaedt
Let S be an oriented surface of finite type of genus g with m punctures and where 3g-3+m>1. We show that the mapping class group M(S) of S is quasi-isometrically rigid. We also giv…
math.GT2005★ 66 cited
Word hyperbolic extensions of surface groups
Ursula Hamenstaedt
Let S be a closed surface of genus at least 2. We show that a finitely generated group G which is an extension of the fundamental group H of S is word hyperbolic if and only the or…
math.GT2005
Geometry of the complex of curves and of Teichmueller space
Ursula Hamenstaedt
In this survey paper we give a proof of hyperbolicity of the complex of curves for a non-exceptional surface S of finite type combining ideas of Masur/Minsky and Bowditch. We also…