3 papers
math.GT2025
Asymptotically rigid mapping class groups of infinite graphs
Thomas Hill, Sanghoon Kwak, Brian Udall +1
We introduce and study asymptotically rigid mapping class groups of certain infinite graphs. We determine their finiteness properties and show that these depend on the number of en…
math.GT2025
Coarsely bounded generating sets for mapping class groups of infinite-type surfaces
Thomas Hill, Sanghoon Kwak, Rebecca Rechkin
Mann and Rafi's seminal work initiated the study of the coarse geometry of big mapping class groups. Specifically, they construct coarsely bounded (CB) generating sets for mapping…
math.GT2024
Automorphisms of the sphere complex of an infinite graph
Thomas Hill, Michael C. Kopreski, Rebecca Rechkin +2
For a locally finite, connected graph , let denote the group of proper homotopy equivalences of up to proper homotopy. Excluding sporadic cases, w…