Open book decompositions of links of quotient surface singularities and support genus problem

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dc.authorscopusid57008967700
dc.contributor.authorDalyan, E.
dc.date.accessioned2021-11-01T14:51:42Z
dc.date.available2021-11-01T14:51:42Z
dc.date.issued2020
dc.department[Belirlenecek]
dc.description.abstractIn this paper we write explicitly the open book decompositions of links of quotient surface singularities supporting the corresponding unique Milnor fillable contact structure. The page-genus of these Milnor open books are minimal among all Milnor open books supporting the same contact structure. We also investigate whether the Milnor genus is equal to the support genus for links of quotient surface singularities. We show that for many types of the quotient surface singularities the Milnor genus is equal to the support genus. In the remaining cases we are able to find a small upper bound for the support genus. © 2020 the Author(s), licensee AIMS Press.
dc.identifier.doi10.3934/math.2020005
dc.identifier.endpage78en_US
dc.identifier.issn2473-6988
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85074235377
dc.identifier.scopusqualityQ1
dc.identifier.startpage54en_US
dc.identifier.urihttps://doi.org/10.3934/math.2020005
dc.identifier.urihttps://hdl.handle.net/11491/6275
dc.identifier.volume5en_US
dc.identifier.wosWOS:000504635300005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[Belirlenecek]
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.ispartofAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectContact structureen_US
dc.subjectMilnor genusen_US
dc.subjectOpen book decompositionen_US
dc.subjectQuotient surface singularitiesen_US
dc.subjectSupport genusen_US
dc.titleOpen book decompositions of links of quotient surface singularities and support genus problem
dc.typeArticle

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