7 citations · 15 across the 9 of their papers we have counts for
10 papers
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…
An -norm-mass inequality for complete manifolds
Caterina Campagnolo, Shi Wang
We generalize an inequality of Besson-Courtois-Gallot about volume and simplicial volume of closed manifolds to the -norm of all the homology classes of complete manifolds.…
Products of free groups in Lie groups
Caterina Campagnolo, Holger Kammeyer
For every Lie group , we compute the maximal such that an -fold product of nonabelian free groups embeds into .
Integral foliated simplicial volume and circle foliations
Caterina Campagnolo, Diego Corro
We show that the integral foliated simplicial volume of a connected compact oriented smooth manifold with a regular foliation by circles vanishes.
Signature Cocycles on the Mapping Class Group and Symplectic Groups
Dave Benson, Caterina Campagnolo, Andrew Ranicki +1
Werner Meyer constructed a cocycle in which computes the signature of a closed oriented surface bundle over a surface, with fibre a surface of…
Counting maximally broken Morse trajectories on aspherical manifolds
Caterina Campagnolo, Roman Sauer
We prove a lower bound on the number of maximally broken trajectories of the negative gradient flow of a Morse-Smale function on a closed aspherical manifold in terms of integral (…
Cohomology of symplectic groups and Meyer's signature theorem
Dave Benson, Caterina Campagnolo, Andrew Ranicki +1
Meyer showed that the signature of a closed oriented surface bundle over a surface is a multiple of , and can be computed using an element of $H^2(\mathsf{Sp}(2g, \mathbb{Z}),\m…
Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
Michelle Bucher, Caterina Campagnolo
We present three new inequalities tying the signature, the simplicial volume and the Euler characteristic of surface bundles over surfaces. Two of them are true for any surface bun…
A geometric description of the homology of surface bundles
Caterina Campagnolo
In the present note we describe geometrically the homology classes in the total space of a surface bundle over a surface in terms of the holonomy map. We treat the cases where the…