Hodge-de Rham numbers of almost complex 4-manifolds

We introduce and study Hodge-de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in the case of complex surfaces are extended to this more general setting, and it is shown that all Hodge-de Rham numbers for...

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Detalles Bibliográficos
Autores: Cirici, Joana, Wilson, Scott O.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/192218
Acceso en línea:https://hdl.handle.net/2445/192218
Access Level:acceso abierto
Palabra clave:Varietats complexes
Geometria diferencial global
Complex manifolds
Global differential geometry
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spelling Hodge-de Rham numbers of almost complex 4-manifoldsCirici, JoanaWilson, Scott O.Varietats complexesGeometria diferencial globalComplex manifoldsGlobal differential geometryWe introduce and study Hodge-de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in the case of complex surfaces are extended to this more general setting, and it is shown that all Hodge-de Rham numbers for compact almost complex 4-manifolds are determined by the topology, except for one (the irregularity). Finally, these numbers are shown to prohibit the existence of complex structures on certain manifolds, without reference to the classification of surfaces.Elsevier GmbH2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/192218Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1016/j.exmath.2022.08.005Expositiones Mathematicae, 2022, vol. 40, num. 4, p. 1244-1260https://doi.org/10.1016/j.exmath.2022.08.005cc-by (c) Joana Cirici et al., 2022http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1922182026-05-27T06:46:51Z
dc.title.none.fl_str_mv Hodge-de Rham numbers of almost complex 4-manifolds
title Hodge-de Rham numbers of almost complex 4-manifolds
spellingShingle Hodge-de Rham numbers of almost complex 4-manifolds
Cirici, Joana
Varietats complexes
Geometria diferencial global
Complex manifolds
Global differential geometry
title_short Hodge-de Rham numbers of almost complex 4-manifolds
title_full Hodge-de Rham numbers of almost complex 4-manifolds
title_fullStr Hodge-de Rham numbers of almost complex 4-manifolds
title_full_unstemmed Hodge-de Rham numbers of almost complex 4-manifolds
title_sort Hodge-de Rham numbers of almost complex 4-manifolds
dc.creator.none.fl_str_mv Cirici, Joana
Wilson, Scott O.
author Cirici, Joana
author_facet Cirici, Joana
Wilson, Scott O.
author_role author
author2 Wilson, Scott O.
author2_role author
dc.subject.none.fl_str_mv Varietats complexes
Geometria diferencial global
Complex manifolds
Global differential geometry
topic Varietats complexes
Geometria diferencial global
Complex manifolds
Global differential geometry
description We introduce and study Hodge-de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in the case of complex surfaces are extended to this more general setting, and it is shown that all Hodge-de Rham numbers for compact almost complex 4-manifolds are determined by the topology, except for one (the irregularity). Finally, these numbers are shown to prohibit the existence of complex structures on certain manifolds, without reference to the classification of surfaces.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/192218
url https://hdl.handle.net/2445/192218
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1016/j.exmath.2022.08.005
Expositiones Mathematicae, 2022, vol. 40, num. 4, p. 1244-1260
https://doi.org/10.1016/j.exmath.2022.08.005
dc.rights.none.fl_str_mv cc-by (c) Joana Cirici et al., 2022
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Joana Cirici et al., 2022
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier GmbH
publisher.none.fl_str_mv Elsevier GmbH
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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