A Note on Chains and Bounding Pairs of Dehn Twists
| dc.contributor.author | Atalan, Ferihe | |
| dc.date.accessioned | 2024-07-05T15:19:28Z | |
| dc.date.available | 2024-07-05T15:19:28Z | |
| dc.date.issued | 2021 | |
| dc.description | Atalan, Ferihe/0000-0001-6547-0570 | en_US |
| dc.description.abstract | Let N-g(k) be a nonorientable surface of genus g with k punctures. In the first part of this note, after introducing preliminary materials, we will give criteria for a chain of Dehn twists to bound a disc. Then, we will show that automorphisms of the mapping class groups map disc bounding chains of Dehn twists to such chains. In the second part of the note, we will introduce bounding pairs of Dehn twists and give an algebraic characterization for such pairs. | en_US |
| dc.description.sponsorship | [TUBITAK-110T665] | en_US |
| dc.description.sponsorship | The author would like to thank B. Szepietowski and Y. Ozan for their numerous valuable comments on the previous versions of this paper. The author also thanks the referee for her/his comments and corrections. The author is partially supported by TUBITAK-110T665. | en_US |
| dc.identifier.doi | 10.1017/S0017089520000063 | |
| dc.identifier.issn | 0017-0895 | |
| dc.identifier.issn | 1469-509X | |
| dc.identifier.scopus | 2-s2.0-85085371631 | |
| dc.identifier.uri | https://doi.org/10.1017/S0017089520000063 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1956 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge Univ Press | en_US |
| dc.relation.ispartof | Glasgow Mathematical Journal | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | A Note on Chains and Bounding Pairs of Dehn Twists | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Atalan, Ferihe] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 138 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 133 | en_US |
| gdc.description.volume | 63 | en_US |
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| gdc.oaire.keywords | 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) | |
| gdc.oaire.keywords | disc bounding chains of Dehn twists | |
| gdc.oaire.keywords | non-orientable surface | |
| gdc.oaire.keywords | Other groups related to topology or analysis | |
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