Compactly-supported and relative integration in differential cohomology
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Tipo de documento: | Tese |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFSCAR |
Texto Completo: | https://repositorio.ufscar.br/handle/ufscar/16247 |
Resumo: | In this work, we have constructed more general versions of differential integration maps in differential cohomology theories. Among the obtained versions we can mention the integration with compact supports, the integration with vertically compact supports and their relative versions. To obtain these maps, it was necessary to construct a special product between parallel and relative differential classes and to extend differential cohomology theories to a category of sequences of manifolds. |
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Barbosa, Brenno GustavoRuffino, Fabio Ferrarihttp://lattes.cnpq.br/2512107188781159http://lattes.cnpq.br/44602668110840973ff55d68-2839-4c8f-af2f-46fc3543e0db2022-06-08T16:59:47Z2022-06-08T16:59:47Z2022-04-11BARBOSA, Brenno Gustavo. Compactly-supported and relative integration in differential cohomology. 2022. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2022. Disponível em: https://repositorio.ufscar.br/handle/ufscar/16247.https://repositorio.ufscar.br/handle/ufscar/16247In this work, we have constructed more general versions of differential integration maps in differential cohomology theories. Among the obtained versions we can mention the integration with compact supports, the integration with vertically compact supports and their relative versions. To obtain these maps, it was necessary to construct a special product between parallel and relative differential classes and to extend differential cohomology theories to a category of sequences of manifolds.Neste trabalho, foram construídas versões mais gerais da integração diferencial em teorias de cohomologia diferencial. Dentre as versões obtidas podemos citar a integração com suporte compacto, a integração com suporte verticalmente compacto e suas versões relativas. Para obter estes mapas, foi necessário construir um produto especial entre classes diferenciais paralelas e relativas e estender a teoria de cohomologia diferencial a uma categoria de sequencias de variedades.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)CAPES: Código de financiamento 001engUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessCohomologia diferencialIntegração diferencialTopologia algébricaGeometria diferencialDifferential cohomologyDifferential integrationAlgebraic topologyDifferential geometryCIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIACompactly-supported and relative integration in differential cohomologyIntegração com suporte compacto e relativa em cohomologia diferencialinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesis600600756edf14-844a-440d-92bf-648d61ad3b16reponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALTeseBrenno.pdfTeseBrenno.pdfapplication/pdf2363658https://repositorio.ufscar.br/bitstream/ufscar/16247/1/TeseBrenno.pdf45326982bdff6d5203939d0cb1928c09MD51Carta Comprovante.pdfCarta Comprovante.pdfCarta comprovanteapplication/pdf340304https://repositorio.ufscar.br/bitstream/ufscar/16247/3/Carta%20Comprovante.pdf85eae6a2de28e3c68b44e99629a5d69fMD53CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufscar.br/bitstream/ufscar/16247/4/license_rdfe39d27027a6cc9cb039ad269a5db8e34MD54TEXTTeseBrenno.pdf.txtTeseBrenno.pdf.txtExtracted texttext/plain477213https://repositorio.ufscar.br/bitstream/ufscar/16247/5/TeseBrenno.pdf.txtf1dc39d7441e091e290629854614738dMD55Carta Comprovante.pdf.txtCarta Comprovante.pdf.txtExtracted texttext/plain1318https://repositorio.ufscar.br/bitstream/ufscar/16247/7/Carta%20Comprovante.pdf.txt22f980e24563fc3cf6d2389c4e751de9MD57THUMBNAILTeseBrenno.pdf.jpgTeseBrenno.pdf.jpgIM Thumbnailimage/jpeg4119https://repositorio.ufscar.br/bitstream/ufscar/16247/6/TeseBrenno.pdf.jpg7e08d5b0dd1406a877adf26eafe812d4MD56Carta Comprovante.pdf.jpgCarta Comprovante.pdf.jpgIM Thumbnailimage/jpeg13091https://repositorio.ufscar.br/bitstream/ufscar/16247/8/Carta%20Comprovante.pdf.jpga126aa5b8361aa47eb2a396f477cd143MD58ufscar/162472023-09-18 18:32:19.862oai:repositorio.ufscar.br:ufscar/16247Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:32:19Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false |
dc.title.eng.fl_str_mv |
Compactly-supported and relative integration in differential cohomology |
dc.title.alternative.por.fl_str_mv |
Integração com suporte compacto e relativa em cohomologia diferencial |
title |
Compactly-supported and relative integration in differential cohomology |
spellingShingle |
Compactly-supported and relative integration in differential cohomology Barbosa, Brenno Gustavo Cohomologia diferencial Integração diferencial Topologia algébrica Geometria diferencial Differential cohomology Differential integration Algebraic topology Differential geometry CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA |
title_short |
Compactly-supported and relative integration in differential cohomology |
title_full |
Compactly-supported and relative integration in differential cohomology |
title_fullStr |
Compactly-supported and relative integration in differential cohomology |
title_full_unstemmed |
Compactly-supported and relative integration in differential cohomology |
title_sort |
Compactly-supported and relative integration in differential cohomology |
author |
Barbosa, Brenno Gustavo |
author_facet |
Barbosa, Brenno Gustavo |
author_role |
author |
dc.contributor.authorlattes.por.fl_str_mv |
http://lattes.cnpq.br/4460266811084097 |
dc.contributor.author.fl_str_mv |
Barbosa, Brenno Gustavo |
dc.contributor.advisor1.fl_str_mv |
Ruffino, Fabio Ferrari |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/2512107188781159 |
dc.contributor.authorID.fl_str_mv |
3ff55d68-2839-4c8f-af2f-46fc3543e0db |
contributor_str_mv |
Ruffino, Fabio Ferrari |
dc.subject.por.fl_str_mv |
Cohomologia diferencial Integração diferencial Topologia algébrica Geometria diferencial |
topic |
Cohomologia diferencial Integração diferencial Topologia algébrica Geometria diferencial Differential cohomology Differential integration Algebraic topology Differential geometry CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA |
dc.subject.eng.fl_str_mv |
Differential cohomology Differential integration Algebraic topology Differential geometry |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA |
description |
In this work, we have constructed more general versions of differential integration maps in differential cohomology theories. Among the obtained versions we can mention the integration with compact supports, the integration with vertically compact supports and their relative versions. To obtain these maps, it was necessary to construct a special product between parallel and relative differential classes and to extend differential cohomology theories to a category of sequences of manifolds. |
publishDate |
2022 |
dc.date.accessioned.fl_str_mv |
2022-06-08T16:59:47Z |
dc.date.available.fl_str_mv |
2022-06-08T16:59:47Z |
dc.date.issued.fl_str_mv |
2022-04-11 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/doctoralThesis |
format |
doctoralThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
BARBOSA, Brenno Gustavo. Compactly-supported and relative integration in differential cohomology. 2022. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2022. Disponível em: https://repositorio.ufscar.br/handle/ufscar/16247. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufscar.br/handle/ufscar/16247 |
identifier_str_mv |
BARBOSA, Brenno Gustavo. Compactly-supported and relative integration in differential cohomology. 2022. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2022. Disponível em: https://repositorio.ufscar.br/handle/ufscar/16247. |
url |
https://repositorio.ufscar.br/handle/ufscar/16247 |
dc.language.iso.fl_str_mv |
eng |
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eng |
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600 600 |
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756edf14-844a-440d-92bf-648d61ad3b16 |
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Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Universidade Federal de São Carlos Câmpus São Carlos |
dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Matemática - PPGM |
dc.publisher.initials.fl_str_mv |
UFSCar |
publisher.none.fl_str_mv |
Universidade Federal de São Carlos Câmpus São Carlos |
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