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Hyperbolic 5-manifolds that fiber over the circle

Geometry/Topology

Speaker: Bruno Martelli, Università di Pisa
Location: Zoom Zoom
Start time: Tue, Feb 15 2022, 1:10PM

Description

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.



Join Zoom Meeting https://ucdavis.zoom.us/j/99717970584?pwd=SkVwZG4zeUFvU0hSUmNiSEZuYktvQT09 Meeting ID: 997 1797 0584 Passcode: 204195