Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space

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In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, the topological behaviour of the singular set and the singularities in the branch set that involves cuspidal curves and swallowtails that alter the singular s...

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Detalles Bibliográficos
Autores: Huamaní N.B., de Jesus C.M., Palacios J.
Formato: artículo
Fecha de Publicación:2019
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/2670
Enlace del recurso:https://hdl.handle.net/20.500.12390/2670
https://doi.org/10.1007/s00574-019-00133-4
Nivel de acceso:acceso abierto
Materia:Stable maps
3-Sphere
Branch sets
Singular sets
http://purl.org/pe-repo/ocde/ford#1.01.01
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spelling Publicationrp07086600rp07087600rp00629600Huamaní N.B.de Jesus C.M.Palacios J.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2019https://hdl.handle.net/20.500.12390/2670https://doi.org/10.1007/s00574-019-00133-42-s2.0-85062145111In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, the topological behaviour of the singular set and the singularities in the branch set that involves cuspidal curves and swallowtails that alter the singular set. We also analyse the effects of these decompositions on the global invariants with prescribed branch sets. © 2019, Sociedade Brasileira de Matemática.Fondo Nacional de Desarrollo Científico y Tecnológico - FondecytengSpringer New York LLCBulletin of the Brazilian Mathematical Societyinfo:eu-repo/semantics/openAccessStable maps3-Sphere-1Branch sets-1Singular sets-1http://purl.org/pe-repo/ocde/ford#1.01.01-1Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Spaceinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#20.500.12390/2670oai:repositorio.concytec.gob.pe:20.500.12390/26702024-05-30 15:25:15.991http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="a0569a4a-0cb6-47a0-a0b9-92c42844e6f1"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space</Title> <PublishedIn> <Publication> <Title>Bulletin of the Brazilian Mathematical Society</Title> </Publication> </PublishedIn> <PublicationDate>2019</PublicationDate> <DOI>https://doi.org/10.1007/s00574-019-00133-4</DOI> <SCP-Number>2-s2.0-85062145111</SCP-Number> <Authors> <Author> <DisplayName>Huamaní N.B.</DisplayName> <Person id="rp07086" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>de Jesus C.M.</DisplayName> <Person id="rp07087" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Palacios J.</DisplayName> <Person id="rp00629" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Springer New York LLC</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Stable maps</Keyword> <Keyword>3-Sphere</Keyword> <Keyword>Branch sets</Keyword> <Keyword>Singular sets</Keyword> <Abstract>In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, the topological behaviour of the singular set and the singularities in the branch set that involves cuspidal curves and swallowtails that alter the singular set. We also analyse the effects of these decompositions on the global invariants with prescribed branch sets. © 2019, Sociedade Brasileira de Matemática.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
title Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
spellingShingle Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
Huamaní N.B.
Stable maps
3-Sphere
Branch sets
Singular sets
http://purl.org/pe-repo/ocde/ford#1.01.01
title_short Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
title_full Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
title_fullStr Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
title_full_unstemmed Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
title_sort Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
author Huamaní N.B.
author_facet Huamaní N.B.
de Jesus C.M.
Palacios J.
author_role author
author2 de Jesus C.M.
Palacios J.
author2_role author
author
dc.contributor.author.fl_str_mv Huamaní N.B.
de Jesus C.M.
Palacios J.
dc.subject.none.fl_str_mv Stable maps
topic Stable maps
3-Sphere
Branch sets
Singular sets
http://purl.org/pe-repo/ocde/ford#1.01.01
dc.subject.es_PE.fl_str_mv 3-Sphere
Branch sets
Singular sets
dc.subject.ocde.none.fl_str_mv http://purl.org/pe-repo/ocde/ford#1.01.01
description In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, the topological behaviour of the singular set and the singularities in the branch set that involves cuspidal curves and swallowtails that alter the singular set. We also analyse the effects of these decompositions on the global invariants with prescribed branch sets. © 2019, Sociedade Brasileira de Matemática.
publishDate 2019
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/2670
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/s00574-019-00133-4
dc.identifier.scopus.none.fl_str_mv 2-s2.0-85062145111
url https://hdl.handle.net/20.500.12390/2670
https://doi.org/10.1007/s00574-019-00133-4
identifier_str_mv 2-s2.0-85062145111
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Bulletin of the Brazilian Mathematical Society
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer New York LLC
publisher.none.fl_str_mv Springer New York LLC
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
_version_ 1844883007906775040
score 13.434571
Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space
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