Automorphisms of Curve Complexes on Nonorientable Surfaces
| dc.contributor.author | Atalan, Ferihe | |
| dc.contributor.author | Korkmaz, Mustafa | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:26:16Z | |
| dc.date.available | 2024-07-05T14:26:16Z | |
| dc.date.issued | 2014 | |
| dc.description | Atalan, Ferihe/0000-0001-6547-0570 | en_US |
| dc.description.abstract | For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism provided that g + n >= 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic. | en_US |
| dc.identifier.doi | 10.4171/GGD/216 | |
| dc.identifier.issn | 1661-7207 | |
| dc.identifier.issn | 1661-7215 | |
| dc.identifier.scopus | 2-s2.0-84900414401 | |
| dc.identifier.uri | https://doi.org/10.4171/GGD/216 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/123 | |
| dc.language.iso | en | en_US |
| dc.publisher | European Mathematical Soc | en_US |
| dc.relation.ispartof | Groups, Geometry, and Dynamics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mapping class group | en_US |
| dc.subject | complex of curves | en_US |
| dc.subject | nonorientable surface | en_US |
| dc.title | Automorphisms of Curve Complexes on Nonorientable Surfaces | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Atalan, Ferihe/0000-0001-6547-0570 | |
| gdc.author.institutional | Atalan, Ferihe | |
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| gdc.author.wosid | Korkmaz, Mustafa/ABA-3419-2020 | |
| gdc.author.wosid | Atalan, Ferihe/JRY-6739-2023 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Atalan, Ferihe] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Korkmaz, Mustafa] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey; [Korkmaz, Mustafa] Max Planck Inst Math, D-53111 Bonn, Germany | en_US |
| gdc.description.endpage | 68 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 39 | en_US |
| gdc.description.volume | 8 | en_US |
| gdc.description.wosquality | Q3 | |
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