Moves on Curves on Nonorientable Surfaces
| dc.contributor.author | Atalan, Ferihe | |
| dc.contributor.author | Yurttas, S. Oyku | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:24:16Z | |
| dc.date.available | 2024-07-05T15:24:16Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Let Ng,n denote a nonorientable surface of genus g with n punctures and one boundary component. We give an algorithm to calculate the geometric intersection number of an arbitrary multicurve d. with so-called relaxed curves in Ng,n making use of measured n1-train tracks. The algorithm proceeds by the repeated application of three moves which take as input the measures of d. and produces as output a multicurve d.' which is minimal with respect to each of the relaxed curves. The last step of the algorithm calculates the number of intersections between d.' and the relaxed curves. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey; [117F282] | en_US |
| dc.description.sponsorship | Acknowledgement This work was supported by the Scientific and Technological Research Council of Turkey (grant 117F282) . | en_US |
| dc.identifier.doi | 10.1216/rmj.2022.52.1957 | |
| dc.identifier.issn | 0035-7596 | |
| dc.identifier.issn | 1945-3795 | |
| dc.identifier.uri | https://doi.org/10.1216/rmj.2022.52.1957 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2414 | |
| dc.language.iso | en | en_US |
| dc.publisher | Rocky Mt Math Consortium | en_US |
| dc.relation.ispartof | Rocky Mountain Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | geometric intersection | en_US |
| dc.subject | multicurves | en_US |
| dc.subject | ? 1-train tracks | en_US |
| dc.title | Moves on Curves on Nonorientable Surfaces | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Atalan, Ferihe | |
| 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, Ankara, Turkey; [Yurttas, S. Oyku] Dicle Univ, Dept Math, Diyarbakir, Turkey | en_US |
| gdc.description.endpage | 1967 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1957 | en_US |
| gdc.description.volume | 52 | en_US |
| gdc.description.wosquality | Q3 | |
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| gdc.oaire.keywords | π1-train tracks | |
| gdc.oaire.keywords | Multicurves | |
| gdc.oaire.keywords | Geometric intersection | |
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