Publication:
Tight contact structures on laminar free hyperbolic three-manifolds

dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorEtgü, Tolga
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T11:40:10Z
dc.date.issued2012
dc.description.abstractWhether every hyperbolic 3-manifold admits a tight contact structure or not is an open question. Many hyperbolic 3-manifolds contain taut foliations and taut foliations in turn can be perturbed to tight contact structures. The first examples of hyperbolic 3-manifolds without taut foliations were constructed by Roberts, Shareshian, and Stein, and infinitely many of them do not even admit essential laminations as shown by Fenley. In this paper, we construct tight contact structures on a family of 3-manifolds including these examples. These contact structures are described by contact surgery diagrams and their tightness is proved using the contact invariant in Heegaard Floer homology.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue20
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.versionAuthor's final manuscript
dc.description.volume2012
dc.identifier.doi10.1093/imrn/rnr198
dc.identifier.eissn1687-0247
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00279
dc.identifier.issn1073-7928
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-84867772907
dc.identifier.urihttps://hdl.handle.net/20.500.14288/202
dc.identifier.wos310218500006
dc.keywordsManifolds
dc.language.isoeng
dc.publisherOxford University Press (OUP)
dc.relation.ispartofInternational Mathematics Research Notices
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1305
dc.subjectMathematics
dc.titleTight contact structures on laminar free hyperbolic three-manifolds
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorEtgü, Tolga
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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