3 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry
Athanase Papadopoulos, Marc Troyanov
David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain in the Euclidean (or projective) space. This metric is known to be Fins…
A rigidity theorem for the mapping class group action on the space of unmeasured foliations on a surface
Athanase Papadopoulos
Let be a surface of finite type which is not a sphere with at most four punctures, a torus with at most two punctures, or a closed surface of genus two. Let be t…
The Weil-Petersson Kähler form and affine foliations on surfaces
Athanase Papadopoulos, R. C. Penner
The space of broken hyperbolic structures generalizes the Teichmüller space of a punctured surface, and the space of projectivized broken measured foliations (equivalently, the spa…