Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes

Detalhes bibliográficos
Autor(a) principal: Oliveira, Jose R.
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/50664
Resumo: It is shown that the Mayer-Vietoris sequence holds for the cohomology of complexes of Lie algebroids which are defined on simplicial complexes and satisfy the compatibility condition concerning restrictions to the faces of each simplex. The Mayer-Vietoris sequence will be obtained as a consequence of the extension lemma for piecewise smooth forms defined on complexes of Lie algebroids.
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spelling Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexesLie algebroid cohomologyMayer-Vietoris sequencePiecewise smooth formssimplicial spaceCiências Naturais::MatemáticasScience & TechnologyIt is shown that the Mayer-Vietoris sequence holds for the cohomology of complexes of Lie algebroids which are defined on simplicial complexes and satisfy the compatibility condition concerning restrictions to the faces of each simplex. The Mayer-Vietoris sequence will be obtained as a consequence of the extension lemma for piecewise smooth forms defined on complexes of Lie algebroids.MICINN, Grant MTM2014-56950-Pinfo:eu-repo/semantics/submittedVersionKorean Mathematical SocietyUniversidade do MinhoOliveira, Jose R.2018-012018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/50664eng1225-17632234-302410.4134/CKMS.c170463http://pdf.medrang.co.kr/kms01/CKMS/33/CKMS-33-4-1357-1366.pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:04:52ZPortal AgregadorONG
dc.title.none.fl_str_mv Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
title Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
spellingShingle Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
Oliveira, Jose R.
Lie algebroid cohomology
Mayer-Vietoris sequence
Piecewise smooth forms
simplicial space
Ciências Naturais::Matemáticas
Science & Technology
title_short Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
title_full Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
title_fullStr Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
title_full_unstemmed Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
title_sort Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
author Oliveira, Jose R.
author_facet Oliveira, Jose R.
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Oliveira, Jose R.
dc.subject.por.fl_str_mv Lie algebroid cohomology
Mayer-Vietoris sequence
Piecewise smooth forms
simplicial space
Ciências Naturais::Matemáticas
Science & Technology
topic Lie algebroid cohomology
Mayer-Vietoris sequence
Piecewise smooth forms
simplicial space
Ciências Naturais::Matemáticas
Science & Technology
description It is shown that the Mayer-Vietoris sequence holds for the cohomology of complexes of Lie algebroids which are defined on simplicial complexes and satisfy the compatibility condition concerning restrictions to the faces of each simplex. The Mayer-Vietoris sequence will be obtained as a consequence of the extension lemma for piecewise smooth forms defined on complexes of Lie algebroids.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
2018-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/50664
url http://hdl.handle.net/1822/50664
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1225-1763
2234-3024
10.4134/CKMS.c170463
http://pdf.medrang.co.kr/kms01/CKMS/33/CKMS-33-4-1357-1366.pdf
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Korean Mathematical Society
publisher.none.fl_str_mv Korean Mathematical Society
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.mail.fl_str_mv
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