Stratifications on the moduli space of Higgs bundles

Detalhes bibliográficos
Autor(a) principal: Gothen, PB
Data de Publicação: 2017
Outros Autores: Zúñiga-Rojas, Ronald A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/108812
Resumo: The moduli space of Higgs bundles has two stratifications. The Bialynicki-Birula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder-Narasimhan type of the vector bundle underlying a Higgs bundle. While these two stratifications coincide in the case of rank two Higgs bundles, this is not the case in higher rank. In this paper we analyze the relation between the two stratifications for the moduli space of rank three Higgs bundles.
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spelling Stratifications on the moduli space of Higgs bundlesGeometria, MatemáticaGeometry, MathematicsThe moduli space of Higgs bundles has two stratifications. The Bialynicki-Birula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder-Narasimhan type of the vector bundle underlying a Higgs bundle. While these two stratifications coincide in the case of rank two Higgs bundles, this is not the case in higher rank. In this paper we analyze the relation between the two stratifications for the moduli space of rank three Higgs bundles.2017-11-102017-11-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/108812eng0032-515510.4171/pm/1996Gothen, PBZúñiga-Rojas, Ronald A.info: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:RCAAP2023-11-29T12:54:03Zoai:repositorio-aberto.up.pt:10216/108812Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:29:00.304969Repositório 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 Stratifications on the moduli space of Higgs bundles
title Stratifications on the moduli space of Higgs bundles
spellingShingle Stratifications on the moduli space of Higgs bundles
Gothen, PB
Geometria, Matemática
Geometry, Mathematics
title_short Stratifications on the moduli space of Higgs bundles
title_full Stratifications on the moduli space of Higgs bundles
title_fullStr Stratifications on the moduli space of Higgs bundles
title_full_unstemmed Stratifications on the moduli space of Higgs bundles
title_sort Stratifications on the moduli space of Higgs bundles
author Gothen, PB
author_facet Gothen, PB
Zúñiga-Rojas, Ronald A.
author_role author
author2 Zúñiga-Rojas, Ronald A.
author2_role author
dc.contributor.author.fl_str_mv Gothen, PB
Zúñiga-Rojas, Ronald A.
dc.subject.por.fl_str_mv Geometria, Matemática
Geometry, Mathematics
topic Geometria, Matemática
Geometry, Mathematics
description The moduli space of Higgs bundles has two stratifications. The Bialynicki-Birula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder-Narasimhan type of the vector bundle underlying a Higgs bundle. While these two stratifications coincide in the case of rank two Higgs bundles, this is not the case in higher rank. In this paper we analyze the relation between the two stratifications for the moduli space of rank three Higgs bundles.
publishDate 2017
dc.date.none.fl_str_mv 2017-11-10
2017-11-10T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/108812
url https://hdl.handle.net/10216/108812
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0032-5155
10.4171/pm/1996
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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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