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math.GT2026
Asymptotically conformal and asymptotically rigid mapping class groups
Javier Aramayona, George Domat, Christopher Leininger
We give conditions ensuring that an asymptotically rigid mapping class group, specifically a surface Houghton group , has finite index in the asymptotically conform…
math.GR2026
Coarse geometry of homeomorphism groups: Classifying countable Stone spaces
George Domat, Hannah Hoganson, Robert Alonzo Lyman
Towards developing the tools of geometric group theory for non-locally compact topological groups, we give one of the first complete classifications of a family of such groups up t…