5 citations · 7 across the 6 of their papers we have counts for
6 papers
Improved algebraic fibrations of high-dimensional hyperbolic groups
Giovanni Italiano, Matteo Migliorini, Andrew Ng
For every , we construct infinitely many quasi-isometry classes of hyperbolic groups of cohomological dimension that algebraically fibre with finitely presented k…
Perfect circle-valued Morse functions on hyperbolic 6-manifolds
Giovanni Italiano, Matteo Migliorini
We build the first example of a hyperbolic 6-manifold that admits a perfect circle-valued Morse function, which can be considered as the analogue of a fibration over the circle for…
Dehn functions of subgroups of products of free groups. Part II: Precise computations
Dario Ascari, Federica Bertolotti, Giovanni Italiano +2
We prove that the Bridson-Dison group has quartic Dehn function, thereby providing the first precise computation of the Dehn function of a subgroup of a direct product of free grou…
Dehn functions of subgroups of products of free groups. Part I: Uniform upper bounds
Dario Ascari, Federica Bertolotti, Giovanni Italiano +2
Subgroups of direct products of finitely many finitely generated free groups form a natural class that plays an important role in geometric group theory. Its members include fundam…
Hyperbolic 5-manifolds that fiber over
Giovanni Italiano, Bruno Martelli, Matteo Migliorini
We exhibit some finite-volume cusped hyperbolic 5-manifolds that fiber over the circle. These include the smallest hyperbolic 5-manifold known, discovered by Ratcliffe and Tschantz…
Hyperbolic manifolds that fiber algebraically up to dimension 8
Giovanni Italiano, Bruno Martelli, Matteo Migliorini
We construct some cusped finite-volume hyperbolic -manifolds that fiber algebraically in all the dimensions . That is, there is a surjective homomorphism $…