The horofunction compactification of Teichmüller metric

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

References in corpus (1)

• Gardiner-Masur boundary of Teichmuller space : Vanishing subsurfaces and Uniquely ergodic boundary points

Cited by in corpus (1)

• On behavior of pairs of Teichmüller geodesic rays