The horofunction compactification of Teichmüller metric
arXiv:1012.0409
Abstract
We show that the horofunction compactification of Teichmüller space with the Teichmüller metric is homeomorphic to the Gardiner-Masur compactification.
Final version, the proof of Proposition 5.1 is improved. To appear in Handbook of Teichmüller Theory, Vol. 4, A. Papadopoulos (ed.), EMS publishing house, Zürich 2013