Drawing bers embeddings of the Teichmüller space of once-punctured tori.
Dynamics in the moduli space of Abelian differentials.
Dynamics on Thurston's sphere of projective measured foliations.
Earthquakes are analytic.
Einbettungen endlicher Riemannscher Flächen.
Eine Anwendung des Satzes von Calabi-Yau auf Familien kompakter komplexer Mannigfaltigkeiten.
Endliche Erweiterungen nichteuklidischer kristallographischer Gruppen.
Erratum: Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Invent. Math. 97, 553-583 (1989).
Espace de Teichmüller
Euler characteristics of moduli spaces of curves
Let be the moduli space of -pointed Riemann surfaces of genus . Denote by the Deligne-Mumford compactification of . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of for any and such that .
Exponential mixing for the Teichmüller flow
We study the dynamics of the Teichmüller flow in the moduli space of abelian differentials (and more generally, its restriction to any connected component of a stratum). We show that the (Masur-Veech) absolutely continuous invariant probability measure is exponentially mixing for the class of Hölder observables. A geometric consequence is that the action in the moduli space has a spectral gap.
Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes
Finite parts of the spectrum of a Riemann surface.
Fuchsian groups and uniformization of Hurwitz spaces.
Gap Sequences and Moduli in Genus 4.
Global moduli for elliptic surfaces with a section
Global moduli for polarized elliptic surfaces
Groupes triangulaires lagrangiens en géométrie hyperbolique complexe
Nous présentons quelques résultats au sujet des groupes engendrés par trois involutions antiholomorphes dans le cadre du plan hyperbolique complexe .
Grunsky coefficient inequalities, Caratheodory metric and extremal quasiconformal mappings.
Half-twists and equations in genus 2.