32 citations · 162 across the 72 of their papers we have counts for
4 papers · 2 filters
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…
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…
Some Lipschitz maps between hyperbolic surfaces with applications to Teichmüller theory
Athanase Papadopoulos, Guillaume Théret
In the Teichmüller space of a hyperbolic surface of finite type, we construct geodesic lines for Thurston's asymmetric metric having the property that when they are traversed in th…