Moves on Curves on Nonorientable Surfaces
| dc.contributor.author | Atalan,F. | |
| dc.contributor.author | Yurttaş,S.Ö. | |
| dc.date.accessioned | 2024-07-05T15:49:57Z | |
| dc.date.available | 2024-07-05T15:49:57Z | |
| 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 L with so-called relaxed curves in Ng,n making use of measured π1-train tracks. The algorithm proceeds by the repeated application of three moves which take as input the measures of L and produces as output a multicurve L′ which is minimal with respect to each of the relaxed curves. The last step of the algorithm calculates the number of intersections between L′ and the relaxed curves. © Rocky Mountain Mathematics Consortium. | en_US |
| dc.description.sponsorship | Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK, (117F282) | en_US |
| dc.identifier.doi | 10.1216/RMJ.2022.52.1957 | |
| dc.identifier.issn | 0035-7596 | |
| dc.identifier.scopus | 2-s2.0-85146265023 | |
| dc.identifier.uri | https://doi.org/10.1216/RMJ.2022.52.1957 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/4061 | |
| dc.language.iso | en | en_US |
| dc.publisher | Rocky Mountain Mathematics Consortium | en_US |
| dc.relation.ispartof | Rocky Mountain Journal of Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | geometric intersection | en_US |
| dc.subject | multicurves | en_US |
| dc.subject | π<sub>1</sub>-train tracks | en_US |
| dc.title | Moves on Curves on Nonorientable Surfaces | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atalan F., Department of Mathematics, Atilim University, Ankara, Turkey; Yurttaş S.Ö., Department of Mathematics, Dicle University, 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 | Q2 | |
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| gdc.oaire.keywords | π1-train tracks | |
| gdc.oaire.keywords | Multicurves | |
| gdc.oaire.keywords | Geometric intersection | |
| gdc.oaire.keywords | \(\pi_1\)-train tracks | |
| gdc.oaire.keywords | geometric intersection | |
| gdc.oaire.keywords | multicurves | |
| gdc.oaire.keywords | General geometric structures on low-dimensional manifolds | |
| gdc.oaire.keywords | 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) | |
| gdc.oaire.keywords | Geometric structures on manifolds of high or arbitrary dimension | |
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| gdc.virtual.author | Atalan, Ferihe | |
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