The horofunction compactification of the arc metric on Teichm\"uller space
Geometric Topology
2018-09-25 v2
Abstract
The arc metric is an asymmetric metric on the Teichm{\"u}ller space T(S) of a surface S with nonempty boundary. In this paper we study the relation between Thurston's compactification and the horofunction compactification of T(S) endowed with the arc metric. We prove that there is a natural homeomorphism between the two compactifications.
Keywords
Cite
@article{arxiv.1411.6208,
title = {The horofunction compactification of the arc metric on Teichm\"uller space},
author = {Daniele Alessandrini and Lixin Liu and Athanase Papadopoulos and Weixu Su},
journal= {arXiv preprint arXiv:1411.6208},
year = {2018}
}