Caterina Campagnolo

activity

20162024

collaborators

4 papers

math.GR2020

Products of free groups in Lie groups

Caterina Campagnolo, Holger Kammeyer

For every Lie group $G$ , we compute the maximal $n$ such that an $n$ -fold product of nonabelian free groups embeds into $G$ .

math.AT2018

Signature Cocycles on the Mapping Class Group and Symplectic Groups

Dave Benson, Caterina Campagnolo, Andrew Ranicki +1

Werner Meyer constructed a cocycle in $H^{2} (S p (2 g, Z); Z)$ which computes the signature of a closed oriented surface bundle over a surface, with fibre a surface of…

math.GT2018

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 (…

math.GT2016

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…