H1-BMO duality on Riemann surfaces.
Half-twists and equations in genus 2.
Harmonic diffeomorphisms and Teichmüller theory.
Harmonic Differentials and Closed Geodesics on a Riemann Surface.
Hausdorff dimension of quasi-circles
Hitchin' s self-duality equations on complete Riemannian manifolds.
Hochschild homology and cohomology of Klein surfaces.
Holomorphic Families of Open Riemann Surfaces.
Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Homeomorphic conjugates of Fuchsian groups.
Homogeneity of dynamically defined wild knots.
In this paper we prove that a wild knot K which is the limit set of a Kleinian group acting conformally on the unit 3-sphere, with its standard metric, is homogeneous: given two points p, q ∈ K, there exists a homeomorphism f of the sphere such that f(K) = K and f(p) = q. We also show that if the wild knot is a fibered knot then we can choose an f which preserves the fibers.
Homology, Belyi functions and canonical curves.
Homology of origamis with symmetries
Given an origami (square-tiled surface) with automorphism group , we compute the decomposition of the first homology group of into isotypic -submodules. Through the action of the affine group of on the homology group, we deduce some consequences for the multiplicities of the Lyapunov exponents of the Kontsevich-Zorich cocycle. We also construct and study several families of interesting origamis illustrating our results.
Homomorphisms of constant stretch between Möbius groups.
Homomorphisms of Fuchsian groups to PSL (2, ...).
Hp-Spaces of Harmonic Functions and the Wiener Compactification.
Hyperbolic cone-manifolds with large cone-angles.
Hyperbolic spaces in Teichmüller spaces
We prove, for any , that there is a closed connected orientable surface so that the hyperbolic space almost-isometrically embeds into the Teichmüller space of , with quasi-convex image lying in the thick part. As a consequence, quasi-isometrically embeds in the curve complex of .
Hyperbolicity of the Complement of Plane Curves.
Hyperbolische Komplexe Räume und die Vermutung von Mordell.