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dc.contributor.authorTian, Zhiyuen_US
dc.contributor.otherDepartment of Mathematicsen_US
dc.date.accessioned2012-05-17T12:22:38Z
dc.date.available2012-05-17T12:22:38Z
dc.date.issued1-May-11en_US
dc.date.submittedMay-11en_US
dc.identifierTian_grad.sunysb_0771E_10478.pdfen_US
dc.identifier.urihttp://hdl.handle.net/1951/56139
dc.description.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.en_US
dc.description.sponsorshipStony Brook University Libraries. SBU Graduate School in Department of Mathematics. Lawrence Martin (Dean of Graduate School).en_US
dc.formatElectronic Resourceen_US
dc.language.isoen_USen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.en_US
dc.subject.lcshMathematicsen_US
dc.subject.otherbirational geometry, Gromov-Witten invariant, rationally connected variety, symplectic geometryen_US
dc.titleSymplectic geometry of rationally connected threefoldsen_US
dc.typeDissertationen_US
dc.description.advisorAdvisor(s): Jason M. Starr. Committee Member(s): Aleksey Zinger; Radu Laza; Dusa McDuff.en_US
dc.mimetypeApplication/PDFen_US


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