Multisections of surface bundles and bundles over S1
Moussard, Delphine (Institut de Mathématiques de Marseille)

Date:	2025
Abstract:	A multisection is a decomposition of a manifold into 1-handlebodies, where each subcollection of the pieces intersects along a 1-handlebody except the global intersection, which is a closed surface. These generalizations of Heegaard splittings and Gay-Kirby trisections were introduced by Ben Aribi, Courte, Golla, and the author, who proved in particular that any 5-manifold admits sucha multisection. In arbitrary dimension, we show that two classes of manifolds admit multisections: surface bundles and fiber bundles over the circle, whose fiber itself is multisected. We provide explicit constructions, with examples.
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Trisection ; Multisection ; Fiber bundle
Published in:	Publicacions matemàtiques, Vol. 69 Núm. 1 (2025) , p. 147-161 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/433278
DOI: 10.5565/PUBLMAT6912506

15 p, 441.3 KB

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