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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| Tipo de documento: | artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| 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 aberto |
| Palavra-chave: | Primary 57K20 Secondary 14D20 57K31 57K35 |
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oai:ddd.uab.cat:312090 |
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Deforming reducible representations of surface and 2-orbifold groups Porti, Joan|||0000-0003-2554-3709 Primary 57K20 Secondary 14D20 57K31 57K35 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. https://ddd.uab.cat/record/312090 https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8 |
| 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 |
| author |
Porti, Joan|||0000-0003-2554-3709 |
| author_facet |
Porti, Joan|||0000-0003-2554-3709 |
| author_role |
author |
| topic |
Primary 57K20 Secondary 14D20 57K31 57K35 |
| topic_facet |
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 |
| format |
article |
| url |
https://ddd.uab.cat/record/312090 https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8 |
| language |
eng |
| eu_rights_str_mv |
openAccess |
| institution |
Universitat Autònoma de Barcelona |
| collection |
Dipòsit Digital de Documents de la UAB |
| reponame_str |
Dipòsit Digital de Documents de la UAB |
| instname_str |
Universitat Autònoma de Barcelona |
| _version_ |
1878443462340116481 |
| publishDateSort |
2025 |
| author_browse |
Porti, Joan|||0000-0003-2554-3709 |
| score |
6,924472 |