Publication:
Exotic stein fillings with arbitrary fundamental group

dc.contributor.coauthorAkhmedov, Anar
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorÖzbağcı, Burak
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-10T00:10:56Z
dc.date.issued2018
dc.description.abstractLet G be a finitely presentable group. We provide an infinite family of homeomorphic but pairwise non-diffeomorphic, symplectic but non-complex closed 4-manifolds with fundamental group G such that each member of the family admits a Lefschetz fibration of the same genus over the two-sphere. As a corollary, we also show the existence of a contact 3-manifold which admits infinitely many homeomorphic but pairwise non-diffeomorphic Stein fillings such that the fundamental group of each filling is isomorphic to G. Moreover, we observe that the contact 3-manifold above is contactomorphic to the link of some isolated complex surface singularity equipped with its canonical contact structure.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue1
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipNSF [DMS-1005741]
dc.description.sponsorshipBIDEP-2219 research grant of the Scientific and Technological Research Council of Turkey The first author was partially supported by the NSF Grant DMS-1005741. The second author was partially supported by a BIDEP-2219 research grant of the Scientific and Technological Research Council of Turkey.
dc.description.volume195
dc.identifier.doi10.1007/s10711-017-0289-y
dc.identifier.eissn1572-9168
dc.identifier.issn0046-5755
dc.identifier.quartileQ4
dc.identifier.scopus2-s2.0-85030842342
dc.identifier.urihttps://doi.org/10.1007/s10711-017-0289-y
dc.identifier.urihttps://hdl.handle.net/20.500.14288/17385
dc.identifier.wos437122700015
dc.keywordsLefschetz fibrations
dc.keywordsStein fillings
dc.keywordsContact structures
dc.keywordsExotic manifolds
dc.keywordsSymplectic manifolds
dc.keywordsNoncomplex smooth 4-manifolds
dc.keywordsSymplectic fillings
dc.keywordsLefschetz fibrations
dc.keywordsSimple singularities
dc.keywordsLuttinger surgery
dc.keywordsLagrangian tori
dc.keywordsSurfaces
dc.keywordsLinks
dc.keywordsGeography
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofGeometriae Dedicata
dc.subjectMathematics
dc.titleExotic stein fillings with arbitrary fundamental group
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorÖzbağcı, Burak
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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