17 citations · 70 across the 21 of their papers we have counts for
21 papers
Minimal volume entropy of mapping tori over 3-manifolds
Giuseppe Bargagnati, Alberto Casali, Francesco Milizia +1
We prove that the minimal volume entropy of mapping tori over oriented closed smooth -manifolds vanishes. Our approach uses a variation of the amenable category and a suitable v…
The cheap embedding principle: Dynamical upper bounds for homology growth
Kevin Li, Clara Loeh, Marco Moraschini +2
We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.
The Serre spectral sequence in bounded cohomology
Kevin Li, Marco Moraschini, George Raptis
We construct the analogue of the Serre spectral sequence for the bounded cohomology of simplicial sets with seminormed local coefficients. As applications, we obtain a (non-isometr…
Topological volumes of certain complete affine manifolds
Alberto Casali, Marco Moraschini
We provide an estimate of the amenable category of oriented closed connected complete affine manifolds whose fundamental group contains an infinite amenable normal subgroup. As an…
Some remarks on acyclicity in bounded cohomology
Marco Moraschini, George Raptis
We show that a surjective homomorphism of (discrete) groups induces an isomorphism in bounded cohomology for all d…
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 Classes of Exact Forms
Ludovico Battista, Stefano Francaviglia, Marco Moraschini +2
On negatively curved compact manifolds, it is possible to associate to every closed form a bounded cocycle - hence a bounded cohomology class - via integration over straight simpli…
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 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…
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…
Multiplicative constants and maximal measurable cocycles in bounded cohomology
Marco Moraschini, Alessio Savini
Multiplicative constants are a fundamental tool in the study of maximal representations. In this paper we show how to extend such notion, and the associated framework, to measurabl…
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…
A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices
Marco Moraschini, Alessio Savini
As for the theory of maximal representations, we introduce the volume of a Zimmer's cocycle $Γ\times X \rightarrow \mbox{PO}^\circ(n, 1)$, where is a torsion-free (non-)uniform…