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• W3143782854 abstract "We show that the identity component of the group of diffeomorphisms of a closed oriented surface of positive genus admits many unbounded quasi-morphisms. As a corollary, we also deduce that this group is not uniformly perfect and its fragmentation norm is unbounded, answering a question of Burago--Ivanov--Polterovich. As a key tool we construct a hyperbolic graph on which these groups act, which is the analog of the curve graph for the mapping class group." @default.
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• W3143782854 date "2021-06-24" @default.
• W3143782854 modified "2023-10-17" @default.
• W3143782854 title "Quasi-morphisms on surface diffeomorphism groups" @default.
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• W3143782854 doi "https://doi.org/10.1090/jams/981" @default.
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