3 papers
math.GT2024
A Bers type classification of big mapping classes
Ara Basmajian, Yassin Chandran
For an infinite type surface , we consider the space of (marked) convex hyperbolic structures on , denoted , with the Fenchel-Nielsen topology. The (big) mapping class…
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
Density results for the modular group of infinite-type surfaces
Yassin Chandran, Tommaso Cremaschi
In this work we show two results about approximating, with respect to the compact-open topology, mapping classes on surfaces of infinite-type by quasi-conformal maps, in particular…