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On the Heegaard genus of contact 3-manifolds

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorÖzbağcı, Burak
dc.contributor.kuprofileFaculty Member
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid29746
dc.date.accessioned2024-11-09T11:46:14Z
dc.date.issued2011
dc.description.abstractIt is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue4
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsoredbyTubitakEuEU
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipMarie Curie International Outgoing Fellowship
dc.description.versionAuthor's final manuscript
dc.description.volume9
dc.formatpdf
dc.identifier.doi10.2478/s11533-011-0038-7
dc.identifier.eissn1644-3616
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00022
dc.identifier.issn1895-1074
dc.identifier.linkhttps://doi.org/10.2478/s11533-011-0038-7
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-79957891174
dc.identifier.urihttps://hdl.handle.net/20.500.14288/513
dc.identifier.wos291036600003
dc.keywordsHeegaard genus
dc.keywordsContact genus
dc.keywordsOpen book genus
dc.keywordsContact connected sum
dc.keywordsContact manifold
dc.languageEnglish
dc.publisherSpringer
dc.relation.grantno107T053
dc.relation.grantno236639
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1053
dc.sourceCentral European Journal of Mathematics
dc.subjectMathematics
dc.titleOn the Heegaard genus of contact 3-manifolds
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-9758-1045
local.contributor.kuauthorÖzbağcı, Burak
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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