Donaldson invariants of product ruled surfaces and two-dimensional gauge theories
| dc.creator | Lozano, Carlos | |
| dc.creator | Marino, Marcos | |
| dc.date | 1999-07-20 | |
| dc.date.accessioned | 2026-07-07T11:10:35Z | |
| dc.date.available | 2026-07-07T11:10:35Z | |
| dc.description | Using the u-plane integral of Moore and Witten, we derive a simple expression for the Donaldson invariants of $Σ_g \times S^2$, where $Σ_g$ is a Riemann surface of genus g. This expression generalizes a theorem of Morgan and Szabo for g=1 to any genus g. We give two applications of our results: (1) We derive Thaddeus' formulae for the intersection pairings on the moduli space of rank two stable bundles over a Riemann surface. (2) We derive the eigenvalue spectrum of the Fukaya-Floer cohomology of $Σ_g \times S^1$. | |
| dc.description | 39 pages, harvmac b mode | |
| dc.identifier | https://arxiv.org/abs/hep-th/9907165 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9907165 | |
| dc.identifier | Commun.Math.Phys.220:231-261,2001 | |
| dc.identifier | doi:10.1007/s002200100442 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190817 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Donaldson invariants of product ruled surfaces and two-dimensional gauge theories | |
| dc.type | text |