49 citations · 125 across the 18 of their papers we have counts for
24 papers
Quantitative chain extensions and integral cohomological fillings
Franziska Hofmann, Clara Loeh
We develop two methods in quantitative homological algebra: A declarative approach to integral cohomological filling problems and a quantitatively controlled replacement of normed…
Bounded acyclicity and relative simplicial volume
Kevin Li, Clara Loeh, Marco Moraschini
We provide new vanishing and glueing results for relative simplicial volume, following up on two current themes in bounded cohomology: The passage from amenable groups to boundedly…
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 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…
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…
The spectrum of simplicial volume of non-compact manifolds
Nicolaus Heuer, Clara Loeh
We show that, in dimension at least , the set of locally finite simplicial volumes of oriented connected open manifolds is . Moreover, we consider the case of tame…