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,...

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Detalhes bibliográficos
Autor: Moussard, Delphine|||0000-0001-6135-0125
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:304455
Acesso em linha:https://ddd.uab.cat/record/304455
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6912506
Access Level:acceso abierto
Palavra-chave:Trisection
Multisection
Fiber bundle
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spelling Multisections of surface bundles and bundles over S1Moussard, Delphine|||0000-0001-6135-0125TrisectionMultisectionFiber bundleA 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. 22025-01-0120252025-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/304455https://dx.doi.org/urn:doi:10.5565/PUBLMAT6912506reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:3044552026-06-06T12:50:31Z
dc.title.none.fl_str_mv Multisections of surface bundles and bundles over S1
title Multisections of surface bundles and bundles over S1
spellingShingle Multisections of surface bundles and bundles over S1
Moussard, Delphine|||0000-0001-6135-0125
Trisection
Multisection
Fiber bundle
title_short Multisections of surface bundles and bundles over S1
title_full Multisections of surface bundles and bundles over S1
title_fullStr Multisections of surface bundles and bundles over S1
title_full_unstemmed Multisections of surface bundles and bundles over S1
title_sort Multisections of surface bundles and bundles over S1
dc.creator.none.fl_str_mv Moussard, Delphine|||0000-0001-6135-0125
author Moussard, Delphine|||0000-0001-6135-0125
author_facet Moussard, Delphine|||0000-0001-6135-0125
author_role author
dc.subject.none.fl_str_mv Trisection
Multisection
Fiber bundle
topic Trisection
Multisection
Fiber bundle
description 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.
publishDate 2025
dc.date.none.fl_str_mv 2
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/304455
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6912506
url https://ddd.uab.cat/record/304455
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6912506
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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repository.mail.fl_str_mv
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