Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Campagnolo, Caterina"'
Several algebraic criteria, reflecting displacement properties of transformation groups, have been used in the past years to prove vanishing of bounded cohomology and stable commutator length. Recently, the authors introduced the property of commutin
Externí odkaz:
http://arxiv.org/abs/2401.08857
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 structure-preserving diffeomorphism groups of certain manifolds; the group
Externí odkaz:
http://arxiv.org/abs/2311.16259
Autor:
Campagnolo, Caterina, Wang, Shi
We generalize an inequality of Besson-Courtois-Gallot about volume and simplicial volume of closed manifolds to the $\ell_1$-norm of all the homology classes of complete manifolds. The inequality involves the critical exponent of the fundamental grou
Externí odkaz:
http://arxiv.org/abs/2203.04131
Autor:
Campagnolo, Caterina, Kammeyer, Holger
For every Lie group $G$, we compute the maximal $n$ such that an $n$-fold product of nonabelian free groups embeds into $G$.
Comment: Incorporated referee suggestions
Comment: Incorporated referee suggestions
Externí odkaz:
http://arxiv.org/abs/2004.11304
Autor:
Campagnolo, Caterina, Corro, Diego
Publikováno v:
J. Topol. Anal. 15 (2023) 155-184
We show that the integral foliated simplicial volume of a connected compact oriented smooth manifold with a regular foliation by circles vanishes.
Comment: 24 pages, 3 figures, corrected typos, added references, added Remark 2.2, added more deta
Comment: 24 pages, 3 figures, corrected typos, added references, added Remark 2.2, added more deta
Externí odkaz:
http://arxiv.org/abs/1910.03071
Werner Meyer constructed a cocycle in $H^2(Sp(2g, \mathbb{Z}); \mathbb{Z})$ which computes the signature of a closed oriented surface bundle over a surface, with fibre a surface of genus g. By studying properties of this cocycle, he also showed that
Externí odkaz:
http://arxiv.org/abs/1811.09357
Autor:
Campagnolo, Caterina, Sauer, Roman
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 (torsion) homology.
Comment: 13 pages. Last changes for the public
Comment: 13 pages. Last changes for the public
Externí odkaz:
http://arxiv.org/abs/1808.08737
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 4069-4091
Meyer showed that the signature of a closed oriented surface bundle over a surface is a multiple of $4$, and can be computed using an element of $H^2(\mathsf{Sp}(2g, \mathbb{Z}),\mathbb{Z})$. Denoting by $1 \to \mathbb{Z} \to \widetilde{\mathsf{Sp}(2
Externí odkaz:
http://arxiv.org/abs/1710.04851
Autor:
Campagnolo, Caterina, Kammeyer, Holger
Publikováno v:
In Journal of Algebra 1 August 2021 579:237-255