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

dc.authorid0000-0003-2099-7584
dc.contributor.authorDalyan, Elif
dc.date.accessioned2020-01-21T08:24:44Z
dc.date.available2020-01-21T08:24:44Z
dc.date.issued2019en_US
dc.departmentHitit Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractAbstract: In 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.
dc.description.provenanceSubmitted by Zeynep Umut Arslan (umutarslan@hitit.edu.tr) on 2020-01-21T08:24:44Z No. of bitstreams: 1 elif-dalyan2019.pdf: 495629 bytes, checksum: 0301c9406e38472e26f4f4d43a7d2b3b (MD5)en
dc.description.provenanceMade available in DSpace on 2020-01-21T08:24:44Z (GMT). No. of bitstreams: 1 elif-dalyan2019.pdf: 495629 bytes, checksum: 0301c9406e38472e26f4f4d43a7d2b3b (MD5) Previous issue date: 2019en
dc.identifier.citationDalyan, E. (2020). Open book decompositions of links of quotient surface singularities and support genus problem. AIMS Mathematics, 5(1): 54-78.
dc.identifier.doi10.3934/math.2020005
dc.identifier.endpage78en_US
dc.identifier.issn2473-6988
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage54en_US
dc.identifier.urihttps://www.aimspress.com/article/10.3934/math.2020005
dc.identifier.urihttps://hdl.handle.net/11491/5652
dc.identifier.volume5en_US
dc.identifier.wosWOS:000504635300005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
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.subjectQuotient Surface Singularitiesen_US
dc.subjectOpen Book Decompositionen_US
dc.subjectContact Structureen_US
dc.subjectMilnor Genusen_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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