activity
20152022
most citedParametrized Euler class and semicohomology theory

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math.DS2022

Orbital cohomology and Kahler rigidity

Alessio Savini

In the late 's Feldman and Moore defined the cohomology associated to a countable equivalence relation with coefficients in an Abelian Polish group. When the equivalence relati…

math.GT20211 cited

Parametrized Euler class and semicohomology theory

Alessio Savini

We extend Ghys' theory about semiconjugacy to the world of measurable cocycles. More precisely, given a measurable cocycle with values into , we can c…

math.GT2020

Entropy rigidity for foliations by strictly convex projective manifolds

Alessio Savini

Let be a compact manifold with a foliation whose leaves are compact strictly convex projective manifolds. Let be a compact manifold with a foliation $\maths…

math.GT2019

A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices

Marco Moraschini, Alessio Savini

As for the theory of maximal representations, we introduce the volume of a Zimmer's cocycle $Γ\times X \rightarrow \mbox{PO}^\circ(n, 1)$, where is a torsion-free (non-)uniform…

math.GT2019

Asymptotically Moebius maps and rigidity for the hyperbolic plane

Alessio Savini

Let be a rank-one symmetric space of non-compact type and let be a space. A well-known result by Bourdon states that if a topological embedding $φ: \partia…

math.GT2015

Fibered knots and links in lens spaces

Enrico Manfredi, Alessio Savini

We take advantage of the correspondence between fibered links, open book decompositions and contact structures on a closed connected 3-dimensional manifold to determine a mixed lin…