{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Refined Convergence for Genus-Two Pseudo-Holomorphic Maps","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/11401/76380"},{"label":"dc.language.iso","value":"en_US"},{"label":"dc.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.abstract","value":"The moduli spaces of pseudo-holomorphic maps into an almost Kahler manifold are fundamental to Gromov-Witten theory. It has been speculated since the early days of Gromov-Witten theory that these moduli spaces contain natural closed subspaces, whenever the genus is positive, that also give rise to curve-counting invariants. This speculation was confirmed in genus 1 over a decade ago. In this dissertation, we describe a natural subspace of every moduli space of genus 2 pseudo-holomorphic maps that has strata of the correct virtual dimension to give rise to curve-counting invariants. We establish most of the convergence statements for sequences of such maps needed to show that this subspace is closed."},{"label":"dcterms.available","value":"2017-09-20T16:50:08Z"},{"label":"dcterms.contributor","value":"Rocek, Martin."},{"label":"dcterms.creator","value":"Niu, Jingchen"},{"label":"dcterms.dateAccepted","value":"2017-09-20T16:50:08Z"},{"label":"dcterms.dateSubmitted","value":"2017-09-20T16:50:08Z"},{"label":"dcterms.description","value":"Department of Mathematics"},{"label":"dcterms.extent","value":"87 pg."},{"label":"dcterms.format","value":"Application/PDF"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/11401/76380"},{"label":"dcterms.issued","value":"2016-12-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2017-09-20T16:50:08Z (GMT). No. of bitstreams: 1\nNiu_grad.sunysb_0771E_12943.pdf: 1080480 bytes, checksum: 9747437ed21476eeec2c9dd814ecab5a (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":"Refined Convergence for Genus-Two Pseudo-Holomorphic Maps"},{"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/2/90%2F96%2F31%2F90963135024452025222912156440190661433/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/2/90%2F96%2F31%2F90963135024452025222912156440190661433","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}