32 citations · 91 across the 9 of their papers we have counts for
13 papers
Generating the spin mapping class group by Dehn twists
Ursula Hamenstädt
Let f be a Z/2Z-spin structureon a closed surface S of genus g>3. We determine a generating set of the stabilizer of f in the mapping class group of S consisting of Dehn twists abo…
The Smallest Positive Eigenvalue Of Fibered Hyperbolic 3-Manifolds
Hyungryul Baik, Ilya Gekhtman, Ursula Hamenstaedt
We study the smallest positive eigenvalue of the Laplace-Beltrami operator on a closed hyperbolic 3-manifold which fibers over the circle, with fiber a closed surface…
Exponential Torsion Growth for Random 3-Manifolds
Hyungryul Baik, David Bauer, Ilya Gekhtman +5
We show that a random 3-manifold with positive first Betti number admits a tower of cyclic covers with exponential torsion growth.
Stability in Outer Space
Ursula Hamenstädt, Sebastian Hensel
We characterize strongly Morse quasi-geodesics in Outer space as quasi-geodesics which project to quasi-geodesics in the free factor graph. We define convex cocompact subgroups of…
Incompressible surfaces in rank one locally symmetric spaces
Ursula Hamenstaedt
We show that cocompact lattices in rank one simple Lie groups of non-compact type distinct from SO(2m,1) (m>0) contain surface subgroups.
Spheres and Projections for
Ursula Hamenstädt, Sebastian Hensel
The outer automorphism group Out(F_2g) of a free group on 2g generators naturally contains the mapping class group of a punctured surface as a subgroup. We define a subsurface proj…
Distance in the curve graph
Ursula Hamenstaedt
We estimate the distance in the curve graph of a surface S of finite type using Teichmueller geodesics and assuming to be able to detect curves of distance at least three.
Asymptotic dimension and the disk graph I
Ursula Hamenstaedt
For a 3-manifold M and a subsurface of the boundary of M with empty or incompressible boundary we use surgery to identify a graph whose vertices are disks with boundary in X an…
The geometry of the handlebody groups I: Distortion
Ursula Hamenstädt, Sebastian Hensel
We show that the mapping class group of a handlebody of genus at least 2 (with any number of marked points or spots) is exponentially distorted in the mapping class group of its bo…
Bowen's construction for the Teichmueller flow
Ursula Hamenstaedt
Let Q be a connected component of a stratum in the space of quadratic differentials for a non-exceptional Riemann surface of finite type. We show that the probability measure on Q…
Lines of minima in Outer space
Ursula Hamenstaedt
We define lines of minima in the thick part of Outer space for the free group Fn with n>2 generators. We show that these lines of minima are contracting for the Lipschitz metric. E…
Dynamics of the Teichmueller flow on compact invariant sets
Ursula Hamenstaedt
Let Q(S) be the moduli space of area one holomorphic quadratic differentials for an oriented surface S of genus g with m punctures and 3g-3+m>1. We show that the supremum over all…
Invariant Radon measures on measured lamination space
Ursula Hamenstaedt
Let S be a non-exceptional oriented surface of finite type. We classify all Radon measures on the space of measured geodesic laminations for S which are invariant under the mapping…