17 citations · 70 across the 21 of their papers we have counts for
6 papers · 1 filter
Amenable covers and integral foliated simplicial volume
Clara Loeh, Marco Moraschini, Roman Sauer
In analogy with ordinary simplicial volume, we show that integral foliated simplicial volume of oriented closed connected aspherical -manifolds that admit an open amenable cover…
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…
On the simplicial volume and the Euler characteristic of (aspherical) manifolds
Clara Loeh, Marco Moraschini, George Raptis
A well-known question by Gromov asks whether the vanishing of the simplicial volume of oriented closed connected aspherical manifolds implies the vanishing of the Euler characteris…
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…
Amenability and Acyclicity in Bounded Cohomology Theory
Marco Moraschini, George Raptis
Johnson's characterization of amenable groups states that a discrete group is amenable if and only if for all dual normed -modules V.…
Topological volumes of fibrations: A note on open covers
Clara Loeh, Marco Moraschini
We establish a straightforward estimate for the number of open sets with fundamental group constraints needed to cover the total space of fibrations. This leads to vanishing result…