vix.ing · top · new · best · stats · spec

Shears for quasisymmetric maps

2020/04/09 by Šarić, Dragomir
#Complex Variables (math.CV) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2004.04575

Abstract

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 normal family argument for quasisymmetric maps and some elementary hyperbolic geometry.

Related