| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657898 | Topology and its Applications | 2016 | 32 Pages |
Abstract
The arc metric is an asymmetric metric on the Teichmüller space T(S)T(S) of a surface S with nonempty boundary. It is the analogue of Thurston's metric on the Teichmüller space of a surface without boundary. In this paper we study the relation between Thurston's compactification and the horofunction compactification of T(S)T(S) endowed with the arc metric. We prove that there is a natural homeomorphism between the two compactifications. This generalizes a result of Walsh [20] that concerns Thurston's metric.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
D. Alessandrini, L. Liu, A. Papadopoulos, W. Su,