CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS

Detalhes bibliográficos
Autor(a) principal: Garcia Prada, O
Data de Publicação: 2017
Outros Autores: Oliveira, 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/10216/115287
Resumo: We carry an intrinsic approach to the study of the connectedness of the moduli space M-G of G-Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not necessarily connected) Lie group. We prove that the number of connected components of M-G is indexed by the corresponding topological invariants. In particular, this gives an alternative proof of the counting by J. Li of the number of connected components of the moduli space of flat G-connections in the case in which G is connected and semisimple.
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spelling CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPSWe carry an intrinsic approach to the study of the connectedness of the moduli space M-G of G-Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not necessarily connected) Lie group. We prove that the number of connected components of M-G is indexed by the corresponding topological invariants. In particular, this gives an alternative proof of the counting by J. Li of the number of connected components of the moduli space of flat G-connections in the case in which G is connected and semisimple.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/115287eng1093-6106Garcia Prada, OOliveira, Ainfo: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:RCAAP2023-11-29T15:32:21Zoai:repositorio-aberto.up.pt:10216/115287Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:26:02.421179Repositório 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 CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
title CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
spellingShingle CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
Garcia Prada, O
title_short CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
title_full CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
title_fullStr CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
title_full_unstemmed CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
title_sort CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS
author Garcia Prada, O
author_facet Garcia Prada, O
Oliveira, A
author_role author
author2 Oliveira, A
author2_role author
dc.contributor.author.fl_str_mv Garcia Prada, O
Oliveira, A
description We carry an intrinsic approach to the study of the connectedness of the moduli space M-G of G-Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not necessarily connected) Lie group. We prove that the number of connected components of M-G is indexed by the corresponding topological invariants. In particular, this gives an alternative proof of the counting by J. Li of the number of connected components of the moduli space of flat G-connections in the case in which G is connected and semisimple.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
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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/10216/115287
url https://hdl.handle.net/10216/115287
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1093-6106
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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