4 papers
math.GT2020
Shears for quasisymmetric maps
Dragomir Šarić
We give an elementary proof of a theorem that characterizes quasisymmetric maps of the unit circle in terms of shear coordinates on the Farey tesselation. The proof only uses the n…
math.GT2019
Train tracks and measured laminations on infinite surfaces
Dragomir Šarić
Let be an infinite Riemann surface equipped with its conformal hyperbolic metric such that the action of the covering group on is of the first kind-i.e., t…
math.GT2018
Convergence of Teichmüller deformations in the universal Teichmüller space
Hideki Miyachi, Dragomir Šarić
Let be an integrable holomorphic function on the unit disk and the Teichmüller disk in the universal Teic…
math.GT2012
Fenchel-Nielsen coordinates on upper bounded pants decompositions
Dragomir Šarić
Let be an infinite genus hyperbolic surface (whose boundary components, if any, are closed geodesics or punctures) which has an upper bounded pants decomposition. The length…