| dc.identifier.uri | http://hdl.handle.net/11401/76380 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | 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. | |
| dcterms.available | 2017-09-20T16:50:08Z | |
| dcterms.contributor | Zinger, Aleksey | en_US |
| dcterms.contributor | Starr, Jason | en_US |
| dcterms.contributor | Plamenevskaya, Olga | en_US |
| dcterms.contributor | Rocek, Martin. | en_US |
| dcterms.creator | Niu, Jingchen | |
| dcterms.dateAccepted | 2017-09-20T16:50:08Z | |
| dcterms.dateSubmitted | 2017-09-20T16:50:08Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.extent | 87 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/11401/76380 | |
| dcterms.issued | 2016-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:50:08Z (GMT). No. of bitstreams: 1
Niu_grad.sunysb_0771E_12943.pdf: 1080480 bytes, checksum: 9747437ed21476eeec2c9dd814ecab5a (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.title | Refined Convergence for Genus-Two Pseudo-Holomorphic Maps | |
| dcterms.type | Dissertation | |
