Quantum cohomology of orthogonal Grassmannians
| dc.creator | Kresch, Andrew | |
| dc.creator | Tamvakis, Harry | |
| dc.date | 2003-06-24 | |
| dc.date.accessioned | 2026-07-07T04:59:08Z | |
| dc.date.available | 2026-07-07T04:59:08Z | |
| dc.description | Let V be a vector space with a nondegenerate symmetric form and OG be the orthogonal Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomology ring QH^*(OG) and show that its product structure is determined by the ring of (P~)-polynomials. A "quantum Schubert calculus" is formulated, which includes quantum Pieri and Giambelli formulas, as well as algorithms for computing Gromov-Witten invariants. As an application, we show that the table of 3-point, genus zero Gromov-Witten invariants for OG coincides with that for a corresponding Lagrangian Grassmannian LG, up to an involution. | |
| dc.description | 20 pages, LaTeX, to appear in Compositio Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0306338 | |
| dc.identifier | http://arxiv.org/abs/math/0306338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67861 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M15 (Primary) 05E15 (Secondary) | |
| dc.title | Quantum cohomology of orthogonal Grassmannians | |
| dc.type | text |