27 citations · 116 across the 31 of their papers we have counts for
4 papers · 1 filter
Dynamics on spaces of quasimorphisms and applications to approximate lattice theory
Michael Björklund, Tobias Hartnick
We study the dynamics of countable groups on their respective spaces of quasimorphisms. For cohomologically non-trivial quasimorphisms we show that there are no invariant measures…
Automorphism groups of cocompact CAT(0) cube complexes and simplicity
Tobias Hartnick, Merlin Incerti-Medici
We provide a systematic description of the automorphism groups of specially cocompact CAT(0) cube complexes. We show that these groups are topologically finitely generated, present…
Automorphisms of self-similar trees
Tobias Hartnick, Merlin Incerti-Medici
We explicitly determine the automorphism groups of all self-similar trees (a.k.a. trees with finitely many cone types). We show that any such automorphism group is a direct limit o…
A Quillen Stability Criterion for Bounded Cohomology
Carlos De la Cruz Mengual, Tobias Hartnick
We provide a version of Quillen's homological stability criterion for continuous bounded cohomology. This criterion is exploited in the companion paper (arXiv:2201.03879) in order…