Birationality of moduli spaces of twisted U(p, q)-Higgs bundles

Detalhes bibliográficos
Autor(a) principal: Gothen, PB
Data de Publicação: 2017
Outros Autores: Nozad, 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/10216/104774
Resumo: A U(p, q)-Higgs bundle on a Riemann surface (twisted by a line bundle) consists of a pair of holomorphic vector bundles, together with a pair of (twisted) maps between them. Their moduli spaces depend on a real parameter alpha. In this paper we study wall crossing for the moduli spaces of alpha-polystable twisted U(p, q)-Higgs bundles. Our main result is that the moduli spaces are birational for a certain range of the parameter and we deduce irreducibility results using known results on Higgs bundles. Quiver bundles and the Hitchin-Kobayashi correspondence play an essential role.
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spelling Birationality of moduli spaces of twisted U(p, q)-Higgs bundlesA U(p, q)-Higgs bundle on a Riemann surface (twisted by a line bundle) consists of a pair of holomorphic vector bundles, together with a pair of (twisted) maps between them. Their moduli spaces depend on a real parameter alpha. In this paper we study wall crossing for the moduli spaces of alpha-polystable twisted U(p, q)-Higgs bundles. Our main result is that the moduli spaces are birational for a certain range of the parameter and we deduce irreducibility results using known results on Higgs bundles. Quiver bundles and the Hitchin-Kobayashi correspondence play an essential role.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/104774eng1139-113810.1007/s13163-016-0207-0Gothen, PBNozad, 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:RCAAP2023-11-29T16:02:28Zoai:repositorio-aberto.up.pt:10216/104774Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:37:07.606780Repositório 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 Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
title Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
spellingShingle Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
Gothen, PB
title_short Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
title_full Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
title_fullStr Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
title_full_unstemmed Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
title_sort Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
author Gothen, PB
author_facet Gothen, PB
Nozad, A
author_role author
author2 Nozad, A
author2_role author
dc.contributor.author.fl_str_mv Gothen, PB
Nozad, A
description A U(p, q)-Higgs bundle on a Riemann surface (twisted by a line bundle) consists of a pair of holomorphic vector bundles, together with a pair of (twisted) maps between them. Their moduli spaces depend on a real parameter alpha. In this paper we study wall crossing for the moduli spaces of alpha-polystable twisted U(p, q)-Higgs bundles. Our main result is that the moduli spaces are birational for a certain range of the parameter and we deduce irreducibility results using known results on Higgs bundles. Quiver bundles and the Hitchin-Kobayashi correspondence play an essential role.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/104774
url https://hdl.handle.net/10216/104774
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1139-1138
10.1007/s13163-016-0207-0
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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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