34 citations · 104 across the 17 of their papers we have counts for
3 papers · 1 filter
Infinite-type loxodromic isometries of the relative arc graph
Carolyn R. Abbott, Nicholas Miller, Priyam Patel
An infinite-type surface is of type if it has an isolated puncture and admits shift maps. This includes all infinite-type surfaces with an isolated puncture o…
A new construction of subgroups of big mapping class groups
Carolyn R. Abbott, Hannah Hoganson, Marissa Loving +2
We explicitly construct new subgroups of the mapping class groups of an uncountable collection of infinite-type surfaces, including, but not limited to, free groups, Baumslag-Solit…
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…