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dc.identifier.urihttp://hdl.handle.net/1951/56139
dc.identifier.urihttp://hdl.handle.net/11401/71714
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 study the symplectic geometry of rationally connected 3-folds. The first result shows that rational connectedness is a symplectic deformation invariant in dimension 3. If a rationally connected 3-fold X is Fano or has Picard number 2, we prove that there is a non-zero Gromov-Witten invariant with two insertions being the class of a point. Finally we prove that many other rationally connected 3-folds have birational models admitting a non-zero Gromov-Witten invariant with two point insertions.
dcterms.available2012-05-17T12:22:38Z
dcterms.available2015-04-24T14:48:44Z
dcterms.contributorAleksey Zingeren_US
dcterms.contributorJason M. Starr.en_US
dcterms.contributorRadu Lazaen_US
dcterms.contributorDusa McDuff.en_US
dcterms.creatorTian, Zhiyu
dcterms.dateAccepted2012-05-17T12:22:38Z
dcterms.dateAccepted2015-04-24T14:48:44Z
dcterms.dateSubmitted2012-05-17T12:22:38Z
dcterms.dateSubmitted2015-04-24T14:48:44Z
dcterms.descriptionDepartment of Mathematicsen_US
dcterms.formatMonograph
dcterms.formatApplication/PDFen_US
dcterms.identifierhttp://hdl.handle.net/1951/56139
dcterms.identifierTian_grad.sunysb_0771E_10478.pdfen_US
dcterms.identifierhttp://hdl.handle.net/11401/71714
dcterms.issued2011-05-01
dcterms.languageen_US
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dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectMathematics
dcterms.subjectbirational geometry, Gromov-Witten invariant, rationally connected variety, symplectic geometry
dcterms.titleSymplectic geometry of rationally connected threefolds
dcterms.typeDissertation


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