Canonical embeddings of pairs of arcs
Complex Variables
2022-08-12 v2
Abstract
We show that for given four points in the Riemann sphere and a given isotopy class of two disjoint arcs connecting these points in two pairs, there exists a unique configuration with the property that each arc is a hyperbolic geodesic segment in the complement of the other arc.
Cite
@article{arxiv.2101.00088,
title = {Canonical embeddings of pairs of arcs},
author = {Mario Bonk and Alexandre Eremenko},
journal= {arXiv preprint arXiv:2101.00088},
year = {2022}
}
Comments
7 pages