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dc.identifier.urihttp://hdl.handle.net/11401/76399
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractWe show the existence of strictly almost-Kahler anti-self-dual metrics on certain 4-manifolds by deforming a scalar-flat Kahler metric. On the other hand, we prove the non-existence of such metrics on certain other 4-manifolds by means of Seiberg-Witten theory. In the process, we provide a simple new proof of the fact that any almost-Kahler anti-self-dual 4-manifold must have a non-trivial Seiberg-Witten invariant.
dcterms.available2017-09-20T16:50:10Z
dcterms.contributorLeBrun, Claudeen_US
dcterms.contributorLawson, Blaineen_US
dcterms.contributorPlamenevskaya, Olgaen_US
dcterms.contributorRocek, Martin.en_US
dcterms.creatorKim, Inyoung
dcterms.dateAccepted2017-09-20T16:50:10Z
dcterms.dateSubmitted2017-09-20T16:50:10Z
dcterms.descriptionDepartment of Mathematics.en_US
dcterms.extent69 pg.en_US
dcterms.formatApplication/PDFen_US
dcterms.formatMonograph
dcterms.identifierhttp://hdl.handle.net/11401/76399
dcterms.issued2014-12-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2017-09-20T16:50:10Z (GMT). No. of bitstreams: 1 Kim_grad.sunysb_0771E_11800.pdf: 347127 bytes, checksum: e5b2fd541200fd92cd8897d85524b445 (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectMathematics
dcterms.titleAlmost-Kahler Anti-Self-Dual Metrics
dcterms.typeDissertation


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