Almost isometries between Teichmüller spaces
arXiv:1703.02687
Abstract
We prove that the Teichmüller space of surfaces with given boundary lengths equipped with the arc metric (resp. the Teichmüller metric) is almost isometric to the Teichmüller space of punctured surfaces equipped with the Thurston metric (resp. the Teichmüller metric).
20 pages, 5 figures. All comments are welcome!