Gromov-Witten invariants on Grassmannians
| dc.creator | Buch, Anders Skovsted | |
| dc.creator | Kresch, Andrew | |
| dc.creator | Tamvakis, Harry | |
| dc.date | 2003-06-27 | |
| dc.date.accessioned | 2026-07-07T04:59:13Z | |
| dc.date.available | 2026-07-07T04:59:13Z | |
| dc.description | We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give symplectic and orthogonal analogues of this result; in these cases the two-step flag variety is replaced by a sub-maximal isotropic Grassmannian. Our theorems are applied, in type A, to formulate a conjectural quantum Littlewood-Richardson rule, and in the other classical Lie types, to obtain new proofs of the main structure theorems for the quantum cohomology of Lagrangian and orthogonal Grassmannians. | |
| dc.description | 15 pages, LaTeX2e, to appear in J. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0306388 | |
| dc.identifier | http://arxiv.org/abs/math/0306388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67898 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N35 (Primary) 14M15, 14N15, 05E15 (Secondary) | |
| dc.title | Gromov-Witten invariants on Grassmannians | |
| dc.type | text |