The horofunction compactification of Teichmüller metric

2010/12/02 by Liu, Lixin, Su, Weixu · 2 citations
#Complex Variables (math.CV) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1012.0409

Abstract

We show that the horofunction compactification of Teichmüller space with the Teichmüller metric is homeomorphic to the Gardiner-Masur compactification.

Cited by

• The asymptoticity of extremal length in Teichmüller space
• The asymptoticity of pairs of Teichmüller rays

Related

• A horofunction counterpart to Teichmüller distance
• A divergent horocycle in the horofunction compactification of the Teichmüller metric
• The asymptotic geometry of the Teichmüller metric
• Compactification and distance on Teichmüller space via renormalized volume
• Optimal geodesics for boundary points of the Gardiner-Masur compactification