4 papers
Outer automorphism groups of hyperbolic groups, bounded extensions, and hierarchical hyperbolicity
Ervin Hadziosmanovic, Giorgio Mangioni
We prove that the outer automorphism group of a one-ended hyperbolic group is virtually a hierarchically hyperbolic group (HHG), under mild orientability conditions on the associat…
Bounded volume class and Cheeger isoperimetric constant for negatively curved manifolds
Ervin Hadziosmanovic
We prove that for manifolds with negative curvature bounded away from of infinite volume and bounded geometry, the bounded fundamental class, defined via integration of the vol…
Bounded cohomology classes from differential forms
Gian Maria Dall'Ara, Roberto Frigerio, Ervin Hadziosmanovic
Let be a complete hyperbolic -manifold, . Via integration over geodesic simplices, any closed bounded differential 2-form on defines a bounded cohomology class…
On the integral simplicial volume of cyclic covers of mapping tori
Federica Bertolotti, Ervin Hadziosmanovic
In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an -dimensio…