3 papers
math.GT2020
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…
math.GT2016
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…
math.GT2016
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.