Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
| dc.creator | Jeffrey, Lisa C. | |
| dc.creator | Kirwan, Frances C. | |
| dc.date | 1996-08-23 | |
| dc.date | 1997-12-09 | |
| dc.date.accessioned | 2026-07-07T09:01:45Z | |
| dc.date.available | 2026-07-07T09:01:45Z | |
| dc.description | We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formulas for intersection numbers to obtain a proof of the Verlinde formula for the dimension of the space of holomorphic sections of a line bundle over M(n,d). | |
| dc.description | 77 pages, LaTeX version 2.09. This is the text of the revised version which will appear in Annals of Mathematics. An error in Section 2 of the previous version has been corrected | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9608029 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9608029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148388 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface | |
| dc.type | text |