The horofunction compactification of Teichm\"uller metric
Geometric Topology
2012-08-24 v4 Complex Variables
Abstract
We show that the horofunction compactification of Teichm\"uller space with the Teichm\"uller metric is homeomorphic to the Gardiner-Masur compactification.
Cite
@article{arxiv.1012.0409,
title = {The horofunction compactification of Teichm\"uller metric},
author = {Lixin Liu and Weixu Su},
journal= {arXiv preprint arXiv:1012.0409},
year = {2012}
}
Comments
Final version, the proof of Proposition 5.1 is improved. To appear in Handbook of Teichm\"uller Theory, Vol. 4, A. Papadopoulos (ed.), EMS publishing house, Z\"urich 2013