3 papers
math.GT2025
Constructing reducibly geometrically finite subgroups of the mapping class group
Tarik Aougab, Harrison Bray, Spencer Dowdall +3
In this article, we consider qualified notions of geometric finiteness in mapping class groups called parabolically geometrically finite (PGF) and reducibly geometrically finite (R…
math.GT2024
Covers of surfaces
Ian Biringer, Yassin Chandran, Tommaso Cremaschi +4
We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is cover…
math.GT2024
Short curves of end-periodic mapping tori
Brandis Whitfield
Let be a boundaryless infinite-type surface with finitely many ends and consider an end-periodic homeomorphism of S. The end-periodicity of ensures that its associated…