On the cohomology ring of the moduli space of rank 2 vector bundles on a curve
| dc.creator | King, A. D. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 1995-02-16 | |
| dc.date.accessioned | 2026-07-07T09:06:22Z | |
| dc.date.available | 2026-07-07T09:06:22Z | |
| dc.description | Let $\MS_g$ be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree over a smooth complex projective curve of genus $g$. This paper proves various properties of the rational cohomology ring $H^*(\MS_g)$. It is shown that the first relation in genus $g$ between the standard generators satisfies a recurrence relation in $g$ and that the invariant subring for the mapping class group is a complete intersection ring. (These two results have been obtained independently by Zagier, Baranovsky and Siebert & Tian.) A Gröbner basis is found for the ideal of invariant relations. A structural formula for $H^*(\MS_g)$ (originally conjectured by Mumford) is verified and a natural monomial basis is given. | |
| dc.description | 14 pages, Plain TeX with amssym, no figures. Hard copies available | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9502018 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9502018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149982 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the cohomology ring of the moduli space of rank 2 vector bundles on a curve | |
| dc.type | text |