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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…
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…
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…
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…
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…