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math.GT2025
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…
math.GT2021★ 1 cited
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…
math.GT2020★ 5 cited
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 $…