Rational curves on hypersurfaces [after A. Givental]
| dc.creator | Pandharipande, Rahul | |
| dc.date | 1998-06-23 | |
| dc.date.accessioned | 2026-07-07T05:25:10Z | |
| dc.date.available | 2026-07-07T05:25:10Z | |
| dc.description | This article accompanies my June 1998 seminaire Bourbaki talk on Givental's work. After a quick review of descendent integrals in Gromov-Witten theory, I discuss Givental's formalism relating hypergeometric series to solutions of quantum differential equations arising from hypersurfaces in projective space. A particular case of this relationship is a proof of the Mirror prediction for the numbers of rational curves on the Calabi-Yau quintic 3-fold. The approach taken here is entirely algebro-geometric and relies upon a localization formula on the moduli space of stable genus 0 maps to projective space. A different proof of the quintic Mirror prediction may be found in the work of Lian, Liu, and Yau. | |
| dc.description | 33 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9806133 | |
| dc.identifier | http://arxiv.org/abs/math/9806133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77084 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Rational curves on hypersurfaces [after A. Givental] | |
| dc.type | text |