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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, we s…
math.GT2023
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.GT2022
Thurston's Theorem: Entropy in Dimension One
Ryan Dickmann, George Domat, Thomas Hill +4
In his paper, Thurston shows that a positive real number is the topological entropy for an ergodic traintrack representative of an outer automorphism of a free group if and onl…