Cobordism of maps of locally orientable Witt spaces

Detalhes bibliográficos
Autor(a) principal: Brasselet, Jean-Paul
Data de Publicação: 2019
Outros Autores: Miwa Libardi, Alice Kimie [UNESP], Rizziolli, Eliris Cristina [UNESP], Saia, Marcelo Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5486/PMD.2019.8265
http://hdl.handle.net/11449/186020
Resumo: The aim of this work is to present some remarks on cobordism of normally nonsingular maps between compact locally orientable Witt spaces. By using the Wu classes defined by Goresky and Pardon, we give a definition of Stiefel-Whitney numbers in this situation. Following Stong's method, we construct a map in the respective intersection homology groups and show that null-cobordism implies the vanishing of these Stiefel-Whitney numbers.
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spelling Cobordism of maps of locally orientable Witt spacescobordism of mapscharacteristic numbersintersection homology and cohomologyThe aim of this work is to present some remarks on cobordism of normally nonsingular maps between compact locally orientable Witt spaces. By using the Wu classes defined by Goresky and Pardon, we give a definition of Stiefel-Whitney numbers in this situation. Following Stong's method, we construct a map in the respective intersection homology groups and show that null-cobordism implies the vanishing of these Stiefel-Whitney numbers.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)BREUDS European ProgrammeAix Marseille Univ, CNRS, Dept Math, I2M, Marseille, FranceSao Paulo State Univ, Dept Math, Rio Claro, BrazilUniv Sao Paulo, Dept Math, Sao Carlos, SP, BrazilSao Paulo State Univ, Dept Math, Rio Claro, BrazilFAPESP: 2015/06697-9FAPESP: 2016/24707-4FAPESP: 2014/00304-2CNPq: 400580/2012-8CNPq: 301495/2017-3CNPq: 482183/2013-6CNPq: 300733/2009-7CNPq: 421440/2016-3Kossuth Lajos TudomanyegyetemAix Marseille UnivUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Brasselet, Jean-PaulMiwa Libardi, Alice Kimie [UNESP]Rizziolli, Eliris Cristina [UNESP]Saia, Marcelo Jose2019-10-04T12:40:31Z2019-10-04T12:40:31Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article299-317http://dx.doi.org/10.5486/PMD.2019.8265Publicationes Mathematicae-debrecen. Debrecen: Kossuth Lajos Tudomanyegyetem, v. 94, n. 3-4, p. 299-317, 2019.0033-3883http://hdl.handle.net/11449/18602010.5486/PMD.2019.8265WOS:000480410700003Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPublicationes Mathematicae-debreceninfo:eu-repo/semantics/openAccess2021-10-22T18:27:01Zoai:repositorio.unesp.br:11449/186020Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:19:51.316925Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Cobordism of maps of locally orientable Witt spaces
title Cobordism of maps of locally orientable Witt spaces
spellingShingle Cobordism of maps of locally orientable Witt spaces
Brasselet, Jean-Paul
cobordism of maps
characteristic numbers
intersection homology and cohomology
title_short Cobordism of maps of locally orientable Witt spaces
title_full Cobordism of maps of locally orientable Witt spaces
title_fullStr Cobordism of maps of locally orientable Witt spaces
title_full_unstemmed Cobordism of maps of locally orientable Witt spaces
title_sort Cobordism of maps of locally orientable Witt spaces
author Brasselet, Jean-Paul
author_facet Brasselet, Jean-Paul
Miwa Libardi, Alice Kimie [UNESP]
Rizziolli, Eliris Cristina [UNESP]
Saia, Marcelo Jose
author_role author
author2 Miwa Libardi, Alice Kimie [UNESP]
Rizziolli, Eliris Cristina [UNESP]
Saia, Marcelo Jose
author2_role author
author
author
dc.contributor.none.fl_str_mv Aix Marseille Univ
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Brasselet, Jean-Paul
Miwa Libardi, Alice Kimie [UNESP]
Rizziolli, Eliris Cristina [UNESP]
Saia, Marcelo Jose
dc.subject.por.fl_str_mv cobordism of maps
characteristic numbers
intersection homology and cohomology
topic cobordism of maps
characteristic numbers
intersection homology and cohomology
description The aim of this work is to present some remarks on cobordism of normally nonsingular maps between compact locally orientable Witt spaces. By using the Wu classes defined by Goresky and Pardon, we give a definition of Stiefel-Whitney numbers in this situation. Following Stong's method, we construct a map in the respective intersection homology groups and show that null-cobordism implies the vanishing of these Stiefel-Whitney numbers.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-04T12:40:31Z
2019-10-04T12:40:31Z
2019-01-01
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://dx.doi.org/10.5486/PMD.2019.8265
Publicationes Mathematicae-debrecen. Debrecen: Kossuth Lajos Tudomanyegyetem, v. 94, n. 3-4, p. 299-317, 2019.
0033-3883
http://hdl.handle.net/11449/186020
10.5486/PMD.2019.8265
WOS:000480410700003
url http://dx.doi.org/10.5486/PMD.2019.8265
http://hdl.handle.net/11449/186020
identifier_str_mv Publicationes Mathematicae-debrecen. Debrecen: Kossuth Lajos Tudomanyegyetem, v. 94, n. 3-4, p. 299-317, 2019.
0033-3883
10.5486/PMD.2019.8265
WOS:000480410700003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Publicationes Mathematicae-debrecen
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 299-317
dc.publisher.none.fl_str_mv Kossuth Lajos Tudomanyegyetem
publisher.none.fl_str_mv Kossuth Lajos Tudomanyegyetem
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129310299521024

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