Quantum cohomology of the Lagrangian Grassmannian
| 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 symplectic vector space and LG be the Lagrangian Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomology ring QH^*(LG) and show that its multiplicative structure is determined by the ring of (Q^~)-polynomials. We formulate a "quantum Schubert calculus" which includes quantum Pieri and Giambelli formulas, as well as algorithms for computing the structure constants appearing in the quantum product of Schubert classes. | |
| dc.description | 27 pages, LaTeX, to appear in Journal of Algebraic Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0306337 | |
| dc.identifier | http://arxiv.org/abs/math/0306337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67860 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M15 (Primary) 05E15 (Secondary) | |
| dc.title | Quantum cohomology of the Lagrangian Grassmannian | |
| dc.type | text |