6 citations · 12 across the 11 of their papers we have counts for
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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★ 2 cited
Curve graphs of surfaces with finite-invariance index 1
Justin Lanier, Marissa Loving
In this note we make progress toward a conjecture of Durham--Fanoni--Vlamis, showing that every infinite-type surface with finite-invariance index 1 and no nondisplaceable compact…
math.GT2021★ 6 cited
Mapping class groups with the Rokhlin property
Justin Lanier, Nicholas G. Vlamis
We classify the connected orientable 2-manifolds whose mapping class groups have a dense conjugacy class. We also show that the mapping class group of a connected orientable 2-mani…