71 citations · 267 across the 25 of their papers we have counts for
13 papers · 1 filter
Cannon-Thurston maps and measures
Ursula Hamenstaedt
We give a short proof of the following extension of a recent result of Gadre, Maher, Pfaff and Uyanki: Consider a closed hyperbolic 3-manifold M which fibers over the circle, with…
On the cohomology of strata of abelian differentials
Ursula Hamenstädt
For g>2 we study the cohomology classes in the closure of a stratum of abelian differentials defined by the boundary strata of codimension one. As an application, we find an explic…
Small eigenvalues of random 3-manifolds
Ursula Hamenstaedt, Gabriele Viaggi
We show that for every there exists a number such that the smallest positive eigenvalue of a random closed 3-manifold of Heegaard genus is at most $c(g)/…
Asymptotic dimension and the disk graph II
Ursula Hamenstaedt
We show that the asymptotic dimension of a hyperbolic relatively hyperbolic graph is finite provided that this holds true uniformly for the peripheral subgraphs and for the electri…
Hyperbolic relatively hyperbolic graphs and disc graphs
Ursula Hamenstaedt
We show that a relatively hyperbolic graph with uniformly hyperbolic peripheral subgraphs is hyperbolic. As an application, we show that the disc graph and the electrified disc gra…
Hyperbolicity of the graph of non-separating multicurves
Ursula Hamenstaedt
A non-separating multicurve of a surface S of genus g with m punctures is a multicurve c so that S-c is connected. For k>0 define the graph of non-separting k-multicurves to be the…