Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
| dc.creator | Okounkov, Andrei | |
| dc.creator | Pandharipande, Rahul | |
| dc.date | 2001-01-17 | |
| dc.date | 2001-03-22 | |
| dc.date.accessioned | 2026-07-07T04:39:42Z | |
| dc.date.available | 2026-07-07T04:39:42Z | |
| dc.description | The main goal of the paper is to present a new approach via Hurwitz numbers to Kontsevich's combinatorial/matrix model for the intersection theory of the moduli space of curves. A secondary goal is to present an exposition of the circle of ideas involved: Hurwitz numbers, Gromov-Witten theory of the projective line, matrix integrals, and the theory of random trees. Further topics will be treated in a sequel. | |
| dc.description | Latex, 107 pages, 9 figures, updated version | |
| dc.identifier | https://arxiv.org/abs/math/0101147 | |
| dc.identifier | http://arxiv.org/abs/math/0101147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60775 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Combinatorics | |
| dc.title | Gromov-Witten theory, Hurwitz numbers, and Matrix models, I | |
| dc.type | text |