15 citations · 64 across the 24 of their papers we have counts for
5 papers · 1 filter
On local comparison between various metrics on Teichmüller spaces
Daniele Alessandrini, Lixin Liu, Athanase Papadopoulos +1
There are several Teichmüller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint (a complex or a hyperbolic structure on the su…
Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Lixin Liu, Weixu Su
We prove an analogue of Farb-Masur's theorem that the length-spectra metric on moduli space is "almost isometric" to a simple model which is induced by the cone m…
The horofunction compactification of Teichmüller metric
Lixin Liu, Weixu Su
We show that the horofunction compactification of Teichmüller space with the Teichmüller metric is homeomorphic to the Gardiner-Masur compactification.
On various Teichmüller spaces of a surface of infinite topological type
Athanase Papadopoulos, Daniele Alessandrini, Lixin Liu +1
We show that the length spectrum metric on Teichmüller spaces of surfaces of infinite topological type is complete. We also give related results and examples that compare the lengt…
On Fenchel-Nielsen coordinates on Teichmüller spaces of surfaces of infinite type
Daniele Alessandrini, Lixin Liu, Athanase Papadopoulos +2
We introduce Fenchel-Nielsen coordinates on Teicmüller spaces of surfaces of infinite type. The definition is relative to a given pair of pants decomposition of the surface. We sta…