Brian Udall

collaborators

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.GT2024

Automorphisms of the sphere complex of an infinite graph

Thomas Hill, Michael C. Kopreski, Rebecca Rechkin +2

For a locally finite, connected graph $I^$ , let $Map (I^)$ denote the group of proper homotopy equivalences of $I^$ up to proper homotopy. Excluding sporadic cases, w…

math.GT2024

The sphere complex of a locally finite graph

Brian Udall

For a locally finite graph $I^$ , we consider its mapping class group $Map (I^)$ as defined by Algom-Kfir-Bestvina. For these groups, we prove a generalization of the results…