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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