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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.GR2025★ 1 cited
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…