Holomorphic families of geodesic discs in infinite dimensional Teichmüller spaces
Holomorphic families of geodesic discs in infinite dimensional Teichmüller spaces
The theory of quasiconformal mappings plays an important role in Teichmüller theory. The Teichmüller spaces of Riemann surfaces are defined as quotient spaces of the spaces of Beltrami differentials, and the Teichmüller distances are defined to measure quasiconformal deformations between the Riemann surfaces representing points in the Teichmüller spaces. The …