MOVES ON CURVES ON NONORIENTABLE SURFACES

dc.authorscopusid36132841800
dc.authorscopusid25960521900
dc.contributor.authorAtalan,F.
dc.contributor.authorYurttaş,S.Ö.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:49:57Z
dc.date.available2024-07-05T15:49:57Z
dc.date.issued2022
dc.departmentAtılım Universityen_US
dc.department-tempAtalan F., Department of Mathematics, Atilim University, Ankara, Turkey; Yurttaş S.Ö., Department of Mathematics, Dicle University, Diyarbakir, Turkeyen_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. © Rocky Mountain Mathematics Consortium.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK, (117F282)en_US
dc.identifier.citation0
dc.identifier.doi10.1216/RMJ.2022.52.1957
dc.identifier.endpage1967en_US
dc.identifier.issn0035-7596
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85146265023
dc.identifier.startpage1957en_US
dc.identifier.urihttps://doi.org/10.1216/RMJ.2022.52.1957
dc.identifier.urihttps://hdl.handle.net/20.500.14411/4061
dc.identifier.volume52en_US
dc.identifier.wosqualityQ3
dc.institutionauthorAtalan, Ferihe
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.subjectπ<sub>1</sub>-train tracksen_US
dc.titleMOVES ON CURVES ON NONORIENTABLE SURFACESen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery5c836044-bce3-404e-be68-c2298dfab3a2
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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