32 citations · 162 across the 72 of their papers we have counts for
5 papers · 1 filter
On the ideal triangulation graph of a punctured surface
Mustafa Korkmaz, Athanase Papadopoulos
We study the ideal triangulation graph of a punctured surface of finite type. We show that if is not the sphere with at most three punctures or the torus with one pu…
On the arc and curve complex of a surface
Mustafa Korkmaz, Athanase Papadopoulos
We study the {\it arc and curve} complex of an oriented connected surface of finite type with punctures. We show that if the surface is not a sphere with one, two or th…
Shortening all the simple closed geodesics on surfaces with boundary
Athanase Papadopoulos, Guillaume Théret
We give a proof of an unpublished result of Thurston showing that given any hyperbolic metric on a surface of finite type with nonempty boundary, there exists another hyperbolic me…
Length spectra and the Teichmueller metric for surfaces with boundary
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We consider some metrics and weak metrics defined on the Teichmueller space of a surface of finite type with nonempty boundary, that are defined using the hyperbolic length spectru…
On length spectrum metrics and weak metrics on Teichmueller spaces of surfaces with boundary
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We define and study metrics and weak metrics on the Teichmueller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the…