17 citations · 70 across the 21 of their papers we have counts for
5 papers · 1 filter
The algebraic cheap rebuilding property
Kevin Li, Clara Loeh, Marco Moraschini +2
We present an axiomatic approach to combination theorems for various homological properties of groups and, more generally, of chain complexes. Examples of such properties include a…
Displacement techniques in bounded cohomology
Caterina Campagnolo, Francesco Fournier-Facio, Yash Lodha +1
Several algebraic criteria, reflecting displacement properties of transformation groups, have been used in the past years to prove vanishing of bounded cohomology and stable commut…
An algebraic criterion for the vanishing of bounded cohomology
Caterina Campagnolo, Francesco Fournier-Facio, Yash Lodha +1
We prove the vanishing of bounded cohomology with separable dual coefficients for many groups of interest in geometry, dynamics, and algebra. These include compactly supported stru…
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…
Bounded cohomology of finitely presented groups: vanishing, non-vanishing, and computability
Francesco Fournier-Facio, Clara Loeh, Marco Moraschini
We provide new computations in bounded cohomology: A group is boundedly acyclic if its bounded cohomology with trivial real coefficients is zero in all positive degrees. We show th…