Topological mirror symmetry for parabolic Higgs bundles

Detalhes bibliográficos
Autor(a) principal: André Oliveira
Data de Publicação: 2019
Outros Autores: Gothen, PB
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/117182
Resumo: We prove the topological mirror symmetry conjecture of Hausel-Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic weights. Although the main theorem is proved only for rank at most three, most of the results are proved for any prime rank.
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spelling Topological mirror symmetry for parabolic Higgs bundlesGeometria algébricaAlgebraic geometryWe prove the topological mirror symmetry conjecture of Hausel-Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic weights. Although the main theorem is proved only for rank at most three, most of the results are proved for any prime rank.20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/117182eng0393-044010.1016/j.geomphys.2018.08.020André OliveiraGothen, PBinfo: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:RCAAP2023-11-29T16:15:17Zoai:repositorio-aberto.up.pt:10216/117182Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:39:59.006069Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Topological mirror symmetry for parabolic Higgs bundles
title Topological mirror symmetry for parabolic Higgs bundles
spellingShingle Topological mirror symmetry for parabolic Higgs bundles
André Oliveira
Geometria algébrica
Algebraic geometry
title_short Topological mirror symmetry for parabolic Higgs bundles
title_full Topological mirror symmetry for parabolic Higgs bundles
title_fullStr Topological mirror symmetry for parabolic Higgs bundles
title_full_unstemmed Topological mirror symmetry for parabolic Higgs bundles
title_sort Topological mirror symmetry for parabolic Higgs bundles
author André Oliveira
author_facet André Oliveira
Gothen, PB
author_role author
author2 Gothen, PB
author2_role author
dc.contributor.author.fl_str_mv André Oliveira
Gothen, PB
dc.subject.por.fl_str_mv Geometria algébrica
Algebraic geometry
topic Geometria algébrica
Algebraic geometry
description We prove the topological mirror symmetry conjecture of Hausel-Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic weights. Although the main theorem is proved only for rank at most three, most of the results are proved for any prime rank.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
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 https://hdl.handle.net/10216/117182
url https://hdl.handle.net/10216/117182
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0393-0440
10.1016/j.geomphys.2018.08.020
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.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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