Counts of maps to Grassmannians and intersections on the moduli space of bundles
| dc.creator | Marian, Alina | |
| dc.creator | Oprea, Dragos | |
| dc.date | 2006-02-15 | |
| dc.date | 2006-02-27 | |
| dc.date.accessioned | 2026-07-07T07:03:28Z | |
| dc.date.available | 2026-07-07T07:03:28Z | |
| dc.description | We show that intersection numbers on the moduli space of stable bundles of coprime rank and degree over a smooth complex curve can be recovered as highest-degree asymptotics in formulas of Vafa-Intriligator type. In particular, we explicitly evaluate all intersection numbers appearing in the Verlinde formula. Our results are in agreement with previous computations of Witten, Jeffrey-Kirwan and Liu. Moreover, we prove the vanishing of certain intersections on a suitable Quot scheme which can be interpreted as giving equations between counts of maps to the Grassmannian. | |
| dc.identifier | https://arxiv.org/abs/math/0602335 | |
| dc.identifier | http://arxiv.org/abs/math/0602335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108982 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Counts of maps to Grassmannians and intersections on the moduli space of bundles | |
| dc.type | text |