A bound for reflections across Jordan curves.
A characterization of short curves of a Teichmüller geodesic.
A construction of the Deligne-Mumford orbifold
A generalisation of Teichmüller space in the hermitian context
A note on geodesics in infinite-dimensional Teichmüller spaces.
A inequality for Kleinian groups.
A reduction for asymptotic Teichmüller spaces.
A remark on polygonal quasiconformal maps.
A remark on the Ahlfors--Lehto univalence criterion.
A short proof of non-Gromov hyperbolicity of Teichmüller spaces.
A sufficient condition for Teichmüller spaces to have smallest possible inner radii.
Ahlfors-Schwarz lemma and curvature
An earthquake version of the Jackson-Zygmund theorem.
Approximate roots of pseudo-Anosov diffeomorphisms
The Root Conjecture predicts that every pseudo-Anosov diffeomorphism of a closed surface has Teichmüller approximate th roots for all . In this paper, we replace the Teichmüller topology by the heights-widths topology – that is induced by convergence of tangent quadratic differentials with respect to both the heights and widths functionals – and show that every pseudo-Anosov diffeomorphism of a closed surface has heights-widths approximate th roots for all .
Approximation of a map between one-dimensional Teichmüller spaces.
Beiträge zum Kontinuitätsbeweise der Existenz linear-polymorpher Funktionen auf Riemannschen Flächen. (Mit 53 Figuren im Text)
Billards en polygones et groupes fuchsiens
Bounded geometry of quadrilaterals and variation of multipliers for rational maps
Let Q be the unit square in the plane and h: Q → h(Q) a quasiconformal map. When h is conformal off a certain self-similar set, the modulus of h(Q) is bounded independent of h. We apply this observation to give explicit estimates for the variation of multipliers of repelling fixed points under a "spinning" quasiconformal deformation of a particular cubic polynomial.
Complex geometry of the universal Teichmüller space.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...