Thurston's compactification via geodesic currents: The case of non-compact finite area surfaces
General Topology
2023-05-24 v2 Geometric Topology
Abstract
In [Bon88], Bonahon gave a construction of Thurston's compactification of Teichm{\"u}ller space using geodesic currents. His argument only applies in the case of closed surfaces, and there are good reasons for that. We present a variant which applies to surfaces of finite area.
Keywords
Cite
@article{arxiv.2208.10763,
title = {Thurston's compactification via geodesic currents: The case of non-compact finite area surfaces},
author = {Marie Trin},
journal= {arXiv preprint arXiv:2208.10763},
year = {2023}
}