8 citations · 9 across the 8 of their papers we have counts for
4 papers · 1 filter
Largest hyperbolic actions and quasi-parabolic actions in groups
Carolyn R. Abbott, Alexander J. Rasmussen
The set of equivalence classes of cobounded actions of a group on different hyperbolic metric spaces carries a natural partial order. The resulting poset thus gives rise to a notio…
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…
WWPD elements of big mapping class groups
Alexander J. Rasmussen
We study mapping class groups of infinite type surfaces with isolated punctures and their actions on the loop graphs introduced by Bavard-Walker. We classify all of the mapping cla…
Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces
Carolyn R. Abbott, Alexander J. Rasmussen
We give a complete list of the cobounded actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces up to a natural equivalence relation. The set of equivalence classe…