F. Sarti

activity

20192026

most citedSuperrigidity of maximal measurable cocycles of complex hyperbolic lattices

11 citations · 17 across the 11 of their papers we have counts for

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6 papers · 1 filter

math.GT2025

Simplicial volume via foliated simplices and duality

Filippo Sarti

Let $M$ be a triangulated oriented closed connected manifold with universal cover $M \to M$ and fundamental group $Γ = π_{1} (M)$ and consider an essentially free measure pre…

math.GT2022★ 2 cited

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…

math.GT2021★ 2 cited

Parametrized Kähler class and Zariski dense orbital 1-cohomology

Filippo Sarti, Alessio Savini

Let $Γ$ be a finitely generated group and let $(X, μ_{X})$ be an ergodic standard Borel probability $Γ$ -space. Suppose that $G$ is the connected component of the identity of the isome…

math.GT2020

Boundary maps and reducibility for cocycles into the isometries of CAT(0)-spaces

Filippo Sarti, Alessio Savini

Let $Γ$ be a discrete countable group acting isometrically on a measurable field $X$ of CAT(0)-spaces of finite telescopic dimension over some ergodic standard Borel proba…

math.GT2020★ 11 cited

Superrigidity of maximal measurable cocycles of complex hyperbolic lattices

Filippo Sarti, Alessio Savini

Let $Γ$ be a torsion-free lattice of $PU (p, 1)$ with $p \geq 2$ and let $(X, μ_{X})$ be an ergodic standard Borel probability $Γ$ -space. We prove that any maximal Zariski dense…

math.GT2019★ 2 cited

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…