17 citations · 43 across the 7 of their papers we have counts for
7 papers
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…
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…
Amenable category and complexity
Pietro Capovilla, Clara Loeh, Marco Moraschini
Amenable category is a variant of the Lusternik-Schnirelman category, based on covers by amenable open subsets. We study the monotonicity problem for degree-one maps and amenable c…
Simplicial volume via normalised cycles
Clara Loeh, Marco Moraschini
We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary -semi-norm on singular homology in…
Stable integral simplicial volume of 3-manifolds
Daniel Fauser, Clara Loeh, Marco Moraschini +1
We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, i.e., that their simplicial volume equals the stable integral simplicial volum…
Higgs bundles and applications
Laura P. Schaposnik
This short note gives an overview of how a few conjectures and theorems of the author and collaborators fit together. It was prepared for Oberwolfach's workshop Differentialgeometr…