{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Symplectic geometry of rationally connected threefolds","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree."},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/1951/56139"},{"label":"dc.language.iso","value":"en_US"},{"label":"dc.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.abstract","value":"We 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."},{"label":"dcterms.available","value":"2015-04-24T14:48:44Z"},{"label":"dcterms.contributor","value":"Aleksey  Zinger"},{"label":"dcterms.creator","value":"Tian, Zhiyu"},{"label":"dcterms.dateAccepted","value":"2012-05-17T12:22:38Z"},{"label":"dcterms.dateSubmitted","value":"2012-05-17T12:22:38Z"},{"label":"dcterms.description","value":"Department of Mathematics"},{"label":"dcterms.format","value":"Monograph"},{"label":"dcterms.identifier","value":"Tian_grad.sunysb_0771E_10478.pdf"},{"label":"dcterms.issued","value":"2011-05-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2015-04-24T14:48:44Z (GMT). No. of bitstreams: 3\nTian_grad.sunysb_0771E_10478.pdf.jpg: 1894 bytes, checksum: a6009c46e6ec8251b348085684cba80d (MD5)\nTian_grad.sunysb_0771E_10478.pdf: 441117 bytes, checksum: f13ca4da618e50a6dbcf514b85c39eb5 (MD5)\nTian_grad.sunysb_0771E_10478.pdf.txt: 87242 bytes, checksum: 0490772e3772a55c0d9c75b6e96366fd (MD5)\n  Previous issue date:    1"},{"label":"dcterms.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.subject","value":"Mathematics"},{"label":"dcterms.title","value":"Symplectic geometry of rationally connected threefolds"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/12%2F23%2F08%2F122308090902329359754766076317487663557/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/12%2F23%2F08%2F122308090902329359754766076317487663557","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}