31 citations · 43 across the 23 of their papers we have counts for
4 papers · 1 filter
A glimpse into Thurston's work
Ken'Ichi Ohshika, Athanase Papadopoulos
We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book "In the traditi…
Shapes of hyperbolic triangles and once-punctured torus groups
Sang-hyun Kim, Thomas Koberda, Jaejeong Lee +3
Let be a hyperbolic triangle with a fixed area . We prove that for all but countably many , generic choices of have the property that the group generated by the --…
Tangent spaces of the Teichm{ü}ller space of the torus with Thurston's weak metric
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we show that the analogue of Thurston's asymmetric metric on the Teichm{ü}ller space of flat structures on the torus is weak Finsler and we give a geometric descript…
Classification of non-free Kleinian groups generated by two parabolic transformations
Hirotaka Akiyoshi, Ken'ichi Ohshika, John Parker +2
We give a full proof to Agol's announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.