32 citations · 131 across the 38 of their papers we have counts for
44 papers
The bounded area class of negatively curved surfaces
Roberto Frigerio, Ervin Hadziosmanovic
Let be an oriented surface, possibly of infinite type, endowed with a complete Riemannian metric with pinched negative curvature. We prove that the area form defines a non-triv…
On the cup product of De Rham classes in bounded cohomology
Roberto Frigerio, Francesco Milizia
On a negatively curved closed manifold, there exists a well-defined map associating to every closed differential form a bounded cohomology class via integration over st…
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…
Efficient cycles of hyperbolic manifolds
Roberto Frigerio, Ennio Grammatica, Bruno Martelli
Let be a complete finite-volume hyperbolic -manifold. An efficient cycle for is the limit (in an appropriate measure space) of a sequence of fundamental cycles whose $\e…
Integral filling volume, complexity and integral simplicial volume of 3-dimensional mapping tori
Federica Bertolotti, Roberto Frigerio
We show that the integral filling volume of a Dehn twist on a closed oriented surface vanishes, i.e. that the integral simplicial volume of the mapping torus with monodromy $f^…
Length functions on mapping class groups and simplicial volumes of mapping tori
Federica Bertolotti, Roberto Frigerio
Let be a closed orientable manifold. We introduce two numerical invariants, called filling volumes, on the mapping class group of , which are defined in te…