Handlebody bundles and polytopes

Hensel, Sebastian; Kielak, Dawid

doi:10.2140/agt.2021.21.3445

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Handlebody bundles and polytopes

Sebastian Hensel and Dawid Kielak

Algebraic & Geometric Topology 21 (2021) 3445–3458

DOI: 10.2140/agt.2021.21.3445

Abstract

We construct examples of fibred three-manifolds with first Betti number at least $2$ and with fibred faces all of whose monodromies extend to a handlebody.

Keywords

handlebody group, fibred 3-manifolds, Thurston polytope, handlebody bundle

Mathematical Subject Classification 2010

Primary: 20F65

References

Publication

Received: 20 March 2020

Revised: 14 December 2020

Accepted: 3 January 2021

Published: 28 December 2021

Authors

Sebastian Hensel
Mathematisches Institut Universität München München Germany

Dawid Kielak
Fakultät für Mathematik Universität Bielefeld Bielefeld Germany	Mathematical Institute University of Oxford Oxford United Kingdom

Volume 21, issue 7 (2021)