Chern forms and the Riemann tensor for the moduli space ofcurves.
Page 1
Displaying 1 – 6 of 6
Complex algebraic curves with real moduli.
Mika Seppälä (1988)
Journal für die reine und angewandte Mathematik
Complex geometry of the universal Teichmüller space.
Krushkal', S.L. (2004)
Sibirskij Matematicheskij Zhurnal
Connected components of the strata of the moduli spaces of quadratic differentials
Erwan Lanneau (2008)
Annales scientifiques de l'École Normale Supérieure
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...
Coordinates for Teichmüller spaces of -groups with torsion.
Arés Gastesi, Pablo (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Cross ratios, Anosov representations and the energy functional on Teichmüller space
François Labourie (2008)
Annales scientifiques de l'École Normale Supérieure
We study two classes of linear representations of a surface group: Hitchin and maximal symplectic representations. We relate them to cross ratios and thus deduce that they are displacing which means that their translation lengths are roughly controlled by the translations lengths on the Cayley graph. As a consequence, we show that the mapping class group acts properly on the space of representations and that the energy functional associated to such a representation is proper. This implies the existence...
Currently displaying 1 – 6 of 6
Page 1