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Mapping class groups are quasicubical
Published 20 Dec 2021 in math.MG and math.GR | (2112.10681v3)
Abstract: It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups.
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