Relative Gromov-Witten invariants and the mirror formula
| dc.creator | Gathmann, Andreas | |
| dc.date | 2000-09-20 | |
| dc.date.accessioned | 2026-07-07T04:37:37Z | |
| dc.date.available | 2026-07-07T04:37:37Z | |
| dc.description | Let X be a smooth complex projective variety, and let Y in X be a smooth very ample hypersurface such that -K_Y is nef. Using the technique of relative Gromov-Witten invariants, we give a new short and geometric proof of (a version of) the "mirror formula", i.e. we show that the generating function of the genus zero 1-point Gromov-Witten invariants of Y can be obtained from that of X by a certain change of variables (the so-called "mirror transformation"). Moreover, we use the same techniques to give a similar expression for the (virtual) numbers of degree-d plane rational curves meeting a smooth cubic at one point with multiplicity 3d, which play a role in local mirror symmetry. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009190 | |
| dc.identifier | http://arxiv.org/abs/math/0009190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59971 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Relative Gromov-Witten invariants and the mirror formula | |
| dc.type | text |