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math.GT2022★ 2 cited
Big mapping class groups with uncountable integral homology
Martin Palmer, Xiaolei Wu
We prove that, for any infinite-type surface , the integral homology of the closure of the compactly-supported mapping class group and of the Tor…
math.GT2022★ 1 cited
On the homology of big mapping class groups
Martin Palmer, Xiaolei Wu
We prove that the mapping class group of the one-holed Cantor tree surface is acyclic. This in turn determines the homology of the mapping class group of the once-punctured Cantor…
math.GT2022
Block mapping class groups and their finiteness properties
Javier Aramayona, Julio Aroca, María Cumplido +2
A Cantor surface is a non-compact surface obtained by gluing copies of a fixed compact surface (a block), with boundary components, in a tree-like fashio…