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...
| Author: | |
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| Format: | Article |
| Publication date: | 2025 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:312090 |
| Online Access: | https://ddd.uab.cat/record/312090 https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8 |
| Access Level: | Open access |
| Keyword: | Primary 57K20 Secondary 14D20 57K31 57K35 |
| _version_ | 1878742883724427265 |
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| author | Porti, Joan|||0000-0003-2554-3709 |
| author_browse | Porti, Joan|||0000-0003-2554-3709 |
| author_facet | Porti, Joan|||0000-0003-2554-3709 |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_fdfd5eb16fdb32fa78dafe584346c3fb |
| institution | Universitat Autònoma de Barcelona |
| instname_str | Universitat Autònoma de Barcelona |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ddd.uab.cat:312090 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | 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 |
| spellingShingle | Deforming reducible representations of surface and 2-orbifold groups Porti, Joan|||0000-0003-2554-3709 Primary 57K20 Secondary 14D20 57K31 57K35 |
| title | 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_short | Deforming reducible representations of surface and 2-orbifold groups |
| title_sort | Deforming reducible representations of surface and 2-orbifold groups |
| topic | Primary 57K20 Secondary 14D20 57K31 57K35 |
| topic_facet | Primary 57K20 Secondary 14D20 57K31 57K35 |
| url | https://ddd.uab.cat/record/312090 https://dx.doi.org/urn:doi:10.1007/s10711-025-01011-8 |