Curves on non-orientable surfaces and crosscap transpositions

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dc.authorid0000-0002-0262-1914en_US
dc.contributor.authorYurttaş, S. Öykü
dc.date.accessioned2023-04-07T08:04:06Z
dc.date.available2023-04-07T08:04:06Z
dc.date.issued2022en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractLet N-g,N-n be a non-orientable surface of genus g with n punctures and one boundary component. In this paper, we describe multicurves in N-g,N-n making use of generalized Dynnikov coordinates, and give explicit formulae for the action of crosscap transpositions and their inverses on the set of multicurves in N-g,N-n in terms of generalized Dynnikov coordinates. This provides a way to solve on non-orientable surfaces various dynamical and combinatorial problems that arise in the study of mapping class groups and Thurston's theory of surface homeomorphisms, which were solved only on orientable surfaces before.en_US
dc.identifier.citationYurttaş, S.Ö. (2022). Curves on non-orientable surfaces and crosscap transpositions. Mathematics, 10(9), 1476.en_US
dc.identifier.doi10.3390/math10091476
dc.identifier.endpage33en_US
dc.identifier.issn2227-7390
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85132627892
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://www.mdpi.com/2227-7390/10/9/1476/pdf?version=1651213555&__cf_chl_tk=N2BKcIvPbCYIpws76iVyODMnUOAUJC51IExgnySlAQo-1680854043-0-gaNycGzNDyU
dc.identifier.urihttps://hdl.handle.net/11468/11637
dc.identifier.volume10en_US
dc.identifier.wosWOS:000794653200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYurttaş, Öykü
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNon-orientable surfacesen_US
dc.subjectMulticurvesen_US
dc.subjectGeometric intersectionen_US
dc.subjectCrosscap transpositionsen_US
dc.subjectMapping class groupen_US
dc.titleCurves on non-orientable surfaces and crosscap transpositionsen_US
dc.titleCurves on non-orientable surfaces and crosscap transpositions
dc.typeArticleen_US

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