71 citations · 267 across the 25 of their papers we have counts for
6 papers · 1 filter
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…
Closed Teichmueller geodesics in the thin part of moduli space
Ursula Hamenstaedt
Let S be an oriented surface of genus g with m punctures. If 3g-3+m is at least 4 then we construct for every compact subset K of moduli space a closed Teichmueller geodesic not in…
Bounded cohomology, cross ratios and cocycles
Ursula Hamenstaedt
We use cross ratios to describe second real continuous bounded cohomology for locally compact topological groups. We also derive a rigidity result for cocycles with values in the i…
Bounded cohomology and isometry groups of hyperbolic spaces
Ursula Hamenstaedt
Let X be an arbitrary hyperbolic geodesic metric space and let G be a countable non-elementary weakly acylindrical group of isometries of X. We show that the second bounded cohomol…
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…
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…