11 citations · 17 across the 11 of their papers we have counts for
11 papers
Similarity and superrigidity for transverse measured groupoids
Filippo Sarti, Alessio Savini
Let be a locally compact, second countable, unimodular group and let be an ergodic integrable transverse -system. We show that endowed with the produ…
Bounded cohomological induction for transverse measured groupoids
Tobias Hartnick, Filippo Sarti
We establish an induction isomorphism in the context of measurable bounded cohomology of discrete measured groupoid, which generalizes the Eckmann-Shapiro isomorphism in bounded co…
Simplicial volume via foliated simplices and duality
Filippo Sarti
Let be a triangulated oriented closed connected manifold with universal cover and fundamental group and consider an essentially free measure pre…
Measurable bounded cohomology of -discrete measured groupoids via resolutions
Filippo Sarti, Alessio Savini
We define bounded cohomology of -discrete measured groupoids with coefficients into measurable bundles of Banach spaces. Our approach via homological algebra extends the classic…
Boundaries and equivariant maps for ergodic groupoids
Filippo Sarti, Alessio Savini
We give a notion of boundary pair for measured groupoids which generalizes the one introduced by Bader and Furman \cite{BF14} for locally compact gr…
Measurable bounded cohomology of measured groupoids
Filippo Sarti, Alessio Savini
We introduce the notion of measurable bounded cohomology for measured groupoids, extending continuous bounded cohomology of locally compact groups. We show that the measurable boun…
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…
Parametrized Kähler class and Zariski dense orbital 1-cohomology
Filippo Sarti, Alessio Savini
Let be a finitely generated group and let be an ergodic standard Borel probability -space. Suppose that is the connected component of the identity of the isome…
Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces
Filippo Sarti, Alessio Savini
Let be a discrete countable group acting isometrically on a measurable field of CAT(0)-spaces of finite telescopic dimension over some ergodic standard Borel proba…
Superrigidity of maximal measurable cocycles of complex hyperbolic lattices
Filippo Sarti, Alessio Savini
Let be a torsion-free lattice of with and let be an ergodic standard Borel probability -space. We prove that any maximal Zariski dense…
Counting surface branched covers
Carlo Petronio, Filippo Sarti
To a branched cover f between orientable surfaces one can associate a certain branch datum D(f), that encodes the combinatorics of the cover. This D(f) satisfies a compatibility co…