Hyperbolic 5-manifolds that fiber over the circleGeometry/Topology
|Speaker:||Bruno Martelli, Università di Pisa|
|Start time:||Tue, Feb 15 2022, 1:10PM|
We show that the existence of hyperbolic manifolds
fibering over the circle is not a phenomenon confined to dimension 3 by exhibiting some examples in dimension 5. More generally, there are hyperbolic manifolds with perfect circle-valued Morse functions in all dimensions n<6. As a consequence, there are hyperbolic groups with finite-type subgroups that are not hyperbolic.
The main tool is Bestvina - Brady theory enriched with a combinatorial game recently introduced by Jankiewicz, Norin and Wise. These are joint works with Battista, Italiano, and Migliorini.
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