Gromov-Witten invariants of flag manifolds, via D-modules
| dc.creator | Amarzaya, A. | |
| dc.creator | Guest, M. A. | |
| dc.date | 2003-06-26 | |
| dc.date | 2004-10-06 | |
| dc.date.accessioned | 2026-07-07T04:59:12Z | |
| dc.date.available | 2026-07-07T04:59:12Z | |
| dc.description | The quantum cohomology algebra of the (full) flag manifold is a fundamental example in quantum cohomology theory, with connections to combinatorics, algebraic geometry, and integrable systems. Using a differential geometric approach, we give an algorithm for computing the multiplicative structure constants of this algebra (the 3-point genus zero Gromov-Witten invariants). The algorithm involves a Grobner basis calculation and the solution by quadrature of a system of differential equations. In particular we obtain quantum Schubert polynomials in a natural fashion. | |
| dc.description | 19 pages, AMS-TeX. Revised version with some clarifications and corrections | |
| dc.identifier | https://arxiv.org/abs/math/0306372 | |
| dc.identifier | http://arxiv.org/abs/math/0306372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67887 | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.subject | 14N35, 53D45 | |
| dc.title | Gromov-Witten invariants of flag manifolds, via D-modules | |
| dc.type | text |