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math.GR2026
On vanishing and Hausdorffness of asymptotic cohomology
Alexis Marchand, Piotr W. Nowak
Asymptotic cohomology was recently introduced to study stability problems in group theory. This paper studies vanishing and Hausdorffness questions around asymptotic cohomology. Ou…
math.GR2024
From letter-quasimorphisms to angle structures and spectral gaps for scl
Alexis Marchand
We give a new geometric proof of a theorem of Heuer showing that, in the presence of letter-quasimorphisms (which are analogues of real-valued quasimorphisms with image in free gro…