English

Shears for quasisymmetric maps

Geometric Topology 2020-08-25 v2 Complex Variables

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.

Keywords

Cite

@article{arxiv.2004.04575,
  title  = {Shears for quasisymmetric maps},
  author = {Dragomir Šarić},
  journal= {arXiv preprint arXiv:2004.04575},
  year   = {2020}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-23T14:45:39.797Z