Deforming reducible representations of surface and 2-orbifold groups

For a compact 2-orbifold with negative Euler characteristic O2, the variety of characters of π1(O2) in SLn(R) is a non-singular manifold at C-irreducible representations. In this paper we prove that when a C-irreducible representation of π1(O2) in SLn(R) is viewed in SLn+1(R), then the variety of ch...

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Autor: Porti, Joan|||0000-0003-2554-3709
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:312090
Acesso em linha:https://ddd.uab.cat/record/312090
https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8
Access Level:acceso abierto
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spelling Deforming reducible representations of surface and 2-orbifold groupsPorti, Joan|||0000-0003-2554-3709Primary 57K20Secondary 14D2057K3157K35For a compact 2-orbifold with negative Euler characteristic O2, the variety of characters of π1(O2) in SLn(R) is a non-singular manifold at C-irreducible representations. In this paper we prove that when a C-irreducible representation of π1(O2) in SLn(R) is viewed in SLn+1(R), then the variety of characters is singular, and we describe the singularity. 22025-01-0120252025-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/312090https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2021-125625NB-I00Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 CEX2020-001084-Mopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:3120902026-06-06T12:50:31Z
dc.title.none.fl_str_mv Deforming reducible representations of surface and 2-orbifold groups
title Deforming reducible representations of surface and 2-orbifold groups
spellingShingle Deforming reducible representations of surface and 2-orbifold groups
Porti, Joan|||0000-0003-2554-3709
Primary 57K20
Secondary 14D20
57K31
57K35
title_short Deforming reducible representations of surface and 2-orbifold groups
title_full Deforming reducible representations of surface and 2-orbifold groups
title_fullStr Deforming reducible representations of surface and 2-orbifold groups
title_full_unstemmed Deforming reducible representations of surface and 2-orbifold groups
title_sort Deforming reducible representations of surface and 2-orbifold groups
dc.creator.none.fl_str_mv Porti, Joan|||0000-0003-2554-3709
author Porti, Joan|||0000-0003-2554-3709
author_facet Porti, Joan|||0000-0003-2554-3709
author_role author
dc.subject.none.fl_str_mv Primary 57K20
Secondary 14D20
57K31
57K35
topic Primary 57K20
Secondary 14D20
57K31
57K35
description For a compact 2-orbifold with negative Euler characteristic O2, the variety of characters of π1(O2) in SLn(R) is a non-singular manifold at C-irreducible representations. In this paper we prove that when a C-irreducible representation of π1(O2) in SLn(R) is viewed in SLn+1(R), then the variety of characters is singular, and we describe the singularity.
publishDate 2025
dc.date.none.fl_str_mv 2
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/312090
https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8
url https://ddd.uab.cat/record/312090
https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2021-125625NB-I00
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 CEX2020-001084-M
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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collection Dipòsit Digital de Documents de la UAB
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