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math.GT2021★ 1 cited
Constraining mapping class group homomorphisms using finite subgroups
Lei Chen, Justin Lanier
We classify homomorphisms from mapping class groups by using finite subgroups. First, we give a new proof of a result of Aramayona--Souto that homomorphisms between mapping class g…
math.GT2021
Non-realizability of some big mapping class groups
Lei Chen, Yan Mary He
In this note, we prove that the compactly supported mapping class group of a surface containing a genus subsurface has no realization as a subgroup of the homeomorphism group.…