Ursula Hamenstādt

activity

20242026

collaborators

9 papers

math.GT2026

An EZ-structure for the mapping class group

Ursula HamenstÃ¤dt

We construct a boundary for the mapping class group Mod(S) of a surface S of finite type. The action of Mod(S) on this boundary is minimal, strongly proximal and topologically free…

math.DG2026

KÃ¤hler-Einstein metrics of negative curvature

Henri Guenancia, Ursula HamenstÃ¤dt

Given any integer $n \geq 2$ , we construct a compact KÃ¤hler-Einstein manifold of dimension n of negative sectional curvature which is not covered by the ball.

math.GT2026

The geometry of branched coverings of hyperbolic manifolds

Ursula HamenstÃ¤dt

We discuss geometric properties of covers of closed hyperbolic manifolds of dimension $n \geq 3$ , branched along a totally geodesic codimension two submanifold $I^£$ . The results are…

math.DS2025

Exponential mixing of the TeichmÃ¼ller flow on affine invariant manifolds

Ursula HamenstÃ¤dt

Let S be a non-exceptional oriented surface of finite type. We give a new proof based on symbolic coding of the following result of Avila and Gouezel. The Teichmueller flow is expo…

math.DG2025

Hitchin grafting representations I: Geometry

We give a geometric interpretation of Fock--Goncharov positivity and show that bending deformations of Fuchsian representations stabilize a uniform Finsler quasi-convex disk in the…

math.DG2025

Hitchin grafting representations II: Dynamics

The Hitchin component of the character variety of representations of a surface group $I ¨ _{1} (S)$ into $PSL_{d} (R)$ for some $d \geq 3$ can be equipped with a pressure…