Moves on curves on nonorientable surgaces

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dc.authorid0000-0001-6547-0570en_US
dc.authorid0000-0002-0262-1914en_US
dc.contributor.authorAtalan, Ferihe
dc.contributor.authorYurttaş, S. Öykü
dc.date.accessioned2023-08-08T08:45:18Z
dc.date.available2023-08-08T08:45:18Z
dc.date.issued2022en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractLet 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.en_US
dc.identifier.citationAtalan, F. ve Yurttaş, S. Ö. (2022). Moves on curves on nonorientable surgaces. Rocky Mountain Journal of Mathematics, 52(6), 1957-1967.en_US
dc.identifier.doi10.1216/RMJ.2022.52.1957en_US
dc.identifier.endpage1967en_US
dc.identifier.issn0035-7596
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85146265023en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1957en_US
dc.identifier.urihttps://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-6/MOVES-ON-CURVES-ON-NONORIENTABLE-SURFACES/10.1216/rmj.2022.52.1957.full
dc.identifier.urihttps://hdl.handle.net/11468/12449
dc.identifier.volume52en_US
dc.identifier.wosWOS:000920233500004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYurttaş, S. Öykü
dc.language.isoenen_US
dc.publisherRocky Mountain Mathematics Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeometric intersectionen_US
dc.subjectMulticurvesen_US
dc.subjectπ1-train tracksen_US
dc.titleMoves on curves on nonorientable surgacesen_US
dc.typeArticleen_US

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