32 citations · 91 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…