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math.GT2021
Big mapping class groups and the co-Hopfian property
Javier Aramayona, Christopher J. Leininger, Alan McLeay
We study injective homomorphisms between big mapping class groups of infinite-type surfaces. First, we construct (uncountably many) examples of surfaces without boundary whose (pur…
math.GT2021
A universal Cannon-Thurston map and the surviving curve complex
Funda Gültepe, Christopher J Leininger, Witsarut Pho-On
Using the Birmanexact sequence for pure mapping class groups, we construct a universal Cannon--Thurston map onto the boundary of a curve complex for a surface with punctures we cal…