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math.GR2022
Median quasimorphisms on CAT(0) cube complexes and their cup products
Benjamin Brück, Francesco Fournier-Facio, Clara Loeh
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup produ…
math.GR2021★ 17 cited
Bounded cohomology and binate groups
Francesco Fournier-Facio, Clara Loeh, Marco Moraschini
A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first non-a…