1 citations · 2 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Classification of Stable Surfaces with respect to Automatic Continuity
Mladen Bestvina, George Domat, Kasra Rafi
We provide a complete classification of when the homeomorphism group of a stable surface, , has the automatic continuity property: Any homomorphism from Homeo to a separabl…
Multitwists in big mapping class groups
George Domat, Federica Fanoni, Sebastian Hensel
We show that the closure of the compactly supported mapping class group of an infinite-type surface is not generated by the collection of multitwists (i.e. products of powers of tw…
Big pure mapping class groups are never perfect
George Domat, Ryan Dickmann
We show that the closure of the compactly supported mapping class group of an infinite type surface is not perfect and that its abelianization contains a direct summand isomorphic…
First cohomology of pure mapping class groups of big genus one and zero surfaces
George Domat, Paul Plummer
We prove that the first integral cohomology of pure mapping class groups of infinite type genus one surfaces is trivial. For genus zero surfaces we prove that not every homomorphis…