Mirror symmetry and quantum cohomology of projective bundles
| dc.creator | Elezi, Artur | |
| dc.date | 2006-10-25 | |
| dc.date.accessioned | 2026-07-07T07:29:25Z | |
| dc.date.available | 2026-07-07T07:29:25Z | |
| dc.description | In an earlier paper we conjectured a relation between the quantum $\mathcal D$-modules of a smooth variety $X$ and the projectivisation of a direct sum of line bundles over it. In this paper we prove the conjecture when $X$ is a complete intersection in a toric variety. We also use the conjecture to show that the relations of the small quantum cohomology ring of $X$ that come from differential operators lift to the projective bundle. The basic cohomology relation of the projective bundle deforms to a relation in the small quantum cohomology. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610758 | |
| dc.identifier | http://arxiv.org/abs/math/0610758 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118098 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 14N35, Secondary 14L30 | |
| dc.title | Mirror symmetry and quantum cohomology of projective bundles | |
| dc.type | text |