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arXiv · 2112.10681

Mapping class groups are quasicubical

Harry Petyt
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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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Harry Petyt. 2024-07-01. Mapping class groups are quasicubical. https://arxiv.org/abs/2112.10681

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