8 citations · 9 across the 8 of their papers we have counts for
6 papers · 1 filter
Largest hyperbolic actions of 3--manifold groups
Carolyn Abbott, Hoang Thanh Nguyen, Alexander J. Rasmussen
The set of equivalence classes of cobounded actions of a group G on different hyperbolic metric spaces carries a natural partial order. Following Abbott--Balasubramanya--Osin, the…
Transverse measures to infinite type laminations
Mladen Bestvina, Alexander J. Rasmussen
We study the cone of transverse measures to a fixed geodesic lamination on an infinite type hyperbolic surface. Under simple hypotheses on the metric, we give an explicit descripti…
Stable commutator length on big mapping class groups
Elizabeth Field, Priyam Patel, Alexander J. Rasmussen
We study stable commutator length on mapping class groups of certain infinite-type surfaces. In particular, we show that stable commutator length defines a continuous function on t…
Laminations and 2-filling rays on infinite type surfaces
Lvzhou Chen, Alexander J. Rasmussen
The loop graph of an infinite type surface is an infinite diameter hyperbolic graph first studied in detail by Juliette Bavard. An important open problem in the study of infinite t…
Geometry of the graphs of nonseparating curves: covers and boundaries
Alexander J. Rasmussen
We investigate the geometry of the graphs of nonseparating curves for surfaces of finite positive genus with potentially infinitely many punctures. This graph has infinite diameter…
Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves
Alexander J. Rasmussen
We show that the graphs of nonseparating curves for oriented finite type surfaces are uniformly hyperbolic. Our proof follows the proof of uniform hyperbolicity of the graphs of cu…