The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface
| dc.creator | Earl, Richard | |
| dc.creator | Kirwan, Frances | |
| dc.date | 1997-09-10 | |
| dc.date.accessioned | 2026-07-07T09:07:25Z | |
| dc.date.available | 2026-07-07T09:07:25Z | |
| dc.description | The cohomology of the moduli spaces of stable bundles M(n,d), of coprime rank n and degree d, over a Riemann surface (of genus g > 1) have been intensely studied over the past three decades. We prove in this paper that the Pontryagin ring of M(n,d) vanishes in degrees above 2n(n-1)(g-1) and that this bound is strict (i.e. there exists a non-zero element of degree 2n(n-1)(g-1) in Pont(M(n,d)).) This result is a generalisation of a 1967 Newstead conjecture that Pont(M(2,1)) vanished above 4(g-1) (or equivalently that β^g =0.) These results have been independently proved by Lisa Jeffrey and Jonathan Weitsman. | |
| dc.description | AMS-Latex, 15 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9709012 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9709012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150364 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 | |
| dc.title | The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface | |
| dc.type | text |