Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces
| dc.creator | Markman, Eyal | |
| dc.date | 2000-09-11 | |
| dc.date | 2001-04-21 | |
| dc.date.accessioned | 2026-07-07T04:37:20Z | |
| dc.date.available | 2026-07-07T04:37:20Z | |
| dc.description | Let M be a moduli space of stable sheaves on a K3 or Abelian surface S. We express the class of the diagonal in the cartesian square of M in terms of the Chern classes of a universal sheaf. Consequently, we obtain generators of the cohomology ring of M. When S is a K3 and M is the Hilbert scheme of length n subschemes, this set of generators is sufficiently small in the sense that there aren't any relations among them in the stable cohomology ring. When S is the cotangent bundle of a Riemann surface, we recover the result of T. Hausel and M. Thaddeus: The cohomology ring of the moduli spaces of Higgs bundles is generated by the universal classes. | |
| dc.description | Latex, 23 pages. The introduction is expanded, the coefficient in part 3 of Theorem 1 is corrected, plus several other minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0009109 | |
| dc.identifier | http://arxiv.org/abs/math/0009109 | |
| dc.identifier | Journal fur die reine und angewandte Mathematik 544 (2002), 61-82 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59914 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces | |
| dc.type | text |