The topology of deformation spaces of Kleinian groups.
The Torelli map at the boundary of the Schottky space.
The virtual cohomological dimension of the mapping class group of an orientable surface.
The visual sphere of Teichmüller space and a theorem of Masur-Wolf.
Théorie de Voronoï géométrique. Propriétés de finitude pour les familles de réseaux et analogues
Nous développons une théorie de Voronoï géométrique. En l’appliquant aux familles classiques de réseaux euclidiens (par exemple symplectiques ou orthogonaux), nous obtenons notamment de nouveaux résultats de finitude concernant les configurations de vecteurs minimaux et les réseaux particuliers (par exemple parfaits) de ces familles. Les méthodes géométriques introduites sont également illustrées par l’étude d’objets voisins (formes de Humbert) ou analogues (surfaces de Riemann).
Theorie der algebraischen Functionen einer Veränderlichen.
Theory of coverings in the study of Riemann surfaces
For a G-covering Y → Y/G = X induced by a properly discontinuous action of a group G on a topological space Y, there is a natural action of π(X,x) on the set F of points in Y with nontrivial stabilizers in G. We study the covering of X obtained from the universal covering of X and the left action of π(X,x) on F. We find a formula for the number of fixed points of an element g ∈ G which is a generalization of Macbeath's formula applied to an automorphism of a Riemann surface. We give a new method...
Thurston unbounded earthquake maps.
Topological classification of conformal actions on -hyperelliptic Riemann surfaces.
Topological equivalence of metrics in Teichmüller space.
Topological locally finite MV-algebras and Riemann surfaces.
Topological types of symmetries of elliptic-hyperelliptic Riemann surfaces and an application to moduli spaces.
Sea X una superficie de Riemann de género g. Diremos que la superficie X es elíptica-hiperelíptica si admite una involución conforme h de modo que X/〈h〉 tenga género uno. La involución h se llama entonces involución elíptica-hiperelíptica. Si g > 5 entonces la involución h es única, ver [1]. Llamamos simetría a toda involución anticonforme de X. Sea Aut±(X) el grupo de automorfismos conformes y anticonformes de X y σ, τ dos simetrías de X con puntos fijos y tales que {σ, hσ} y {τ, hτ} no...
Topologie de Gromov équivariante, structures hyperboliques et arbres réels.
Topologische Automorphismen in der konstruktiven Galoistheorie.
Torsion Free Subgroups of Fuchsian Groups and Tessalations of Surfaces.
Trace parameters for Teichmüller space of genus 2 surfaces and mapping class group
We obtain a representation of the mapping class group of genus 2 surface in terms of a coordinate system of the Teichmüller space defined by trace functions.
Traces, lengths, axes and commensurability
The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.
Traces of commutators of Möbius transformations.
Transzendente Zahlen als Fourierkoeffizienten von Heckes Modulformen
Travaux de Thurston sur les difféomorphismes des surfaces et l'espace de Teichmüller