43 citations · 217 across the 30 of their papers we have counts for
3 papers · 1 filter
Uniformly exponential growth and mapping class groups of surfaces
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We show that the mapping class group of an orientable finite type surface has uniformly exponential growth, as well as various closely related groups. This provides further evidenc…
A simple criterion for non-relative hyperbolicity and one-endedness of groups
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many importa…
The Weil-Petersson geometry of the five-times punctured sphere
Javier Aramayona
We give a new proof that the completion of the Weil-Petersson metric on Teichmüller space is Gromov-hyperbolic if the surface is a five-times punctured sphere or a twice-punctured…