The topological types of length bounded multicurves
Geometric Topology
2021-09-10 v1 Differential Geometry
Abstract
This article discusses inequalities on lengths of curves on hyperbolic surfaces. In particular, a characterization is given of which topological types of curves and multicurves always have a representative that satisfies a length inequality that holds over all of moduli space.
Cite
@article{arxiv.2109.04143,
title = {The topological types of length bounded multicurves},
author = {Hugo Parlier},
journal= {arXiv preprint arXiv:2109.04143},
year = {2021}
}
Comments
The final version of this article will appear in the book "Essays in Geometry, dedicated to Norbert A'Campo" (A. Papadopoulos, ed.), European Mathematical Society Press, Berlin, 2022 (to appear)