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Partial open book decompositions and the contact class in sutured floer homology

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorEtgü, Tolga
dc.contributor.kuauthorÖzbağcı, Burak
dc.contributor.kuprofileFaculty Member
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid16206
dc.contributor.yokid29746
dc.date.accessioned2024-11-09T23:25:38Z
dc.date.issued2009
dc.description.abstractWe demonstrate how to combinatorially calculate the EH-class of a compatible contact structure in the sutured Floer homology group of a balanced sutured three manifold which is associated to an abstract partial open book decomposition. As an application we show that every contact three manifold (closed or with convex boundary) can be obtained by gluing tight contact handlebodies whose EH-classes are nontrivial.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.indexedbyTR Dizin
dc.description.issue3
dc.description.openaccessYES
dc.description.sponsorshipScientific and Technological Research Council of Turkey [107T053] We thank Andras Stipsicz and Sergey Finashin for valuable comments on a draft of this paper, John Etnyre for very helpful email correspondence, the referee for carefully reading the manuscript, suggesting several improvements and pointing out some errors. TE was partially supported by a GEBIP grant of the Turkish Academy of Sciences and a CAREER, grant of the Scientific and Technological Research Council of Turkey. BO was partially supported by the research grant 107T053 of the Scientific and Technological Research Council of Turkey.
dc.description.volume33
dc.identifier.doi10.3906/mat-0805-18
dc.identifier.eissn1303-6149
dc.identifier.issn1300-0098
dc.identifier.scopus2-s2.0-70349772978
dc.identifier.urihttp://dx.doi.org/10.3906/mat-0805-18
dc.identifier.urihttps://hdl.handle.net/20.500.14288/11414
dc.identifier.wos269496200010
dc.keywordsPartial open book decomposition
dc.keywordsContact three-manifold with convex boundary
dc.keywordsSutured manifold
dc.keywordsSutured floer homology
dc.keywordsEH-contact class 3-manifolds
dc.keywordsInvariants
dc.languageEnglish
dc.publisherScientific Technical Research Council Turkey-Tubitak
dc.sourceTurkish Journal of Mathematics
dc.subjectMathematics
dc.titlePartial open book decompositions and the contact class in sutured floer homology
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0003-2464-3636
local.contributor.authorid0000-0002-9758-1045
local.contributor.kuauthorEtgü, Tolga
local.contributor.kuauthorÖzbağcı, Burak
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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