Multisections of surface bundles and bundles over S1
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,...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:304455 |
| Acceso en línea: | https://ddd.uab.cat/record/304455 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6912506 |
| Access Level: | acceso abierto |
| Palabra clave: | Trisection Multisection Fiber bundle |
| Sumario: | 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. |
|---|