7 citations · 15 across the 9 of their papers we have counts for
5 papers · 1 filter
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.…
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.
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 (…
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…