On the Cohomology of Moduli of Vector Bundles
| dc.creator | Dhillon, Ajneet | |
| dc.date | 2003-10-20 | |
| dc.date | 2003-10-21 | |
| dc.date.accessioned | 2026-07-07T05:02:05Z | |
| dc.date.available | 2026-07-07T05:02:05Z | |
| dc.description | We compute some Hodge and Betti numbers of the moduli space of stable rank $r$ degree $d$ vector bundles on a smooth projective curve. We do not assume $r$ and $d$ are coprime. In the process we equip the cohomology of an arbitrary algebraic stack with a functorial mixed Hodge structure. This Hodge structure is computed in the case of the moduli stack of rank $r$, degree $d$ vector bundles on a curve. Our methods also yield a formula for the Poincare polynomial of the moduli stack that is valid over any ground field. | |
| dc.description | 20 pages, I forgot to upload the bibliography last time | |
| dc.identifier | https://arxiv.org/abs/math/0310299 | |
| dc.identifier | http://arxiv.org/abs/math/0310299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68915 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 | |
| dc.title | On the Cohomology of Moduli of Vector Bundles | |
| dc.type | text |