Asymptotic mapping class group of genus zero was first introduced by Funar and Kapoudjian. It is a finitely presented group which contains the mapping class groups of all genus zero surfaces. Later the definitions were generalized to allow the genus to be any finite number (Funar--Aramayona) and infinite (Funar--Kapoudjian). We will discuss how these groups are constructed and show that they are in fact of type F_infinity. The proof boils down to prove certain subsurface complexes are highly connected. This is based on joint work with Javier Aramayona, Kai-Uwe Bux, Jonas Flechsig and Nansen Petrosyan.
Angelegt am Friday, 12.11.2021 14:37 von Giles Gardam
Geändert am Friday, 12.11.2021 14:37 von Giles Gardam
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