$A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies

In this article, we introduce certain arity-3 operations on complex manifolds arising from homotopy transfer theory. Such operations are related to the triple ABC-Massey products from Bott-Chern to Aeppli cohomology. We present a package for computing such products as well as other cohomological and...

Descripción completa

Detalles Bibliográficos
Autores: Cirici, Joana, Garrido Vilallave, Roger, Sopena Gilboy, Anna
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/227064
Acceso en línea:https://hdl.handle.net/2445/227064
Access Level:acceso abierto
Palabra clave:Topologia
Varietats complexes
Teoria de l'homotopia
Topology
Complex manifolds
Homotopy theory
id ES_dce552b918e1280b408f3cebd1a2ff3b
oai_identifier_str oai:diposit.ub.edu:2445/227064
network_acronym_str ES
network_name_str España
repository_id_str
spelling $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologiesCirici, JoanaGarrido Vilallave, RogerSopena Gilboy, AnnaTopologiaVarietats complexesTeoria de l'homotopiaTopologyComplex manifoldsHomotopy theoryIn this article, we introduce certain arity-3 operations on complex manifolds arising from homotopy transfer theory. Such operations are related to the triple ABC-Massey products from Bott-Chern to Aeppli cohomology. We present a package for computing such products as well as other cohomological and homotopical invariants for complex nilmanifolds and give some examples.2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/227064Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a https://doi.org/10.1515/coma-2025-00122025, vol. 12, num.1https://doi.org/10.1515/coma-2025-0012cc by (c) Joana Cirici et al., 2025https://creativecommons.org/licenses/by-sa/4.0/deed.cainfo:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2270642026-05-27T06:46:51Z
dc.title.none.fl_str_mv $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
title $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
spellingShingle $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
Cirici, Joana
Topologia
Varietats complexes
Teoria de l'homotopia
Topology
Complex manifolds
Homotopy theory
title_short $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
title_full $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
title_fullStr $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
title_full_unstemmed $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
title_sort $A_{\infty}$-structures for Bott-Chern and Aeppli cohomologies
dc.creator.none.fl_str_mv Cirici, Joana
Garrido Vilallave, Roger
Sopena Gilboy, Anna
author Cirici, Joana
author_facet Cirici, Joana
Garrido Vilallave, Roger
Sopena Gilboy, Anna
author_role author
author2 Garrido Vilallave, Roger
Sopena Gilboy, Anna
author2_role author
author
dc.subject.none.fl_str_mv Topologia
Varietats complexes
Teoria de l'homotopia
Topology
Complex manifolds
Homotopy theory
topic Topologia
Varietats complexes
Teoria de l'homotopia
Topology
Complex manifolds
Homotopy theory
description In this article, we introduce certain arity-3 operations on complex manifolds arising from homotopy transfer theory. Such operations are related to the triple ABC-Massey products from Bott-Chern to Aeppli cohomology. We present a package for computing such products as well as other cohomological and homotopical invariants for complex nilmanifolds and give some examples.
publishDate 2025
dc.date.none.fl_str_mv 2025
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/2445/227064
url https://hdl.handle.net/2445/227064
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/10.1515/coma-2025-0012
2025, vol. 12, num.1
https://doi.org/10.1515/coma-2025-0012
dc.rights.none.fl_str_mv cc by (c) Joana Cirici et al., 2025
https://creativecommons.org/licenses/by-sa/4.0/deed.ca
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc by (c) Joana Cirici et al., 2025
https://creativecommons.org/licenses/by-sa/4.0/deed.ca
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
_version_ 1869421810607456256
score 15,812429

Similares en LA Referencia