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Bibliographic Details
Main Authors: Italiano, Giovanni, Migliorini, Matteo
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.24128
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Table of Contents:
  • 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 manifolds with non-vanishing Euler characteristic. As a consequence, we obtain a new example of a subgroup of a hyperbolic group which is of type $\mathcal{F}_2$ but not $\mathcal{F}_3$.