Some remarks on the Kronheimer-Mrowka classes of algebraic surfaces
| dc.creator | Brussee, R. | |
| dc.date | 1993-08-20 | |
| dc.date.accessioned | 2026-07-07T09:05:53Z | |
| dc.date.available | 2026-07-07T09:05:53Z | |
| dc.description | Define the Donaldson series of a simply connected 4-manifold by q(X) = \sum_d q_d(X)/d! Recently Kronheimer and Mroka have announced the result that the Donaldson series of so called simple 4-manifolds can be written as q(X) = e^{Q/2}\sum_{i=1}^p a_i e^{K_i} where $Q$ is the intersection form and the $K_i \in H^2(X,\Z)$ are the {\it Kronheimer-Mrowka classes}. We prove that for simple simply connected algebraic surfaces the $K_i$ are algebraic classes and that they are closely related to the canonical class $K_X$. For simple simply connected minimal surfaces of general type we prove $K_i^2 \le K_X^2$ with equality if and only if $K_i = \pm K_X$. Remark: although no gauge theory is used in this paper it should have a cross reference with the as yet non existent e-print service for low dimensional topology. | |
| dc.description | 6 pages, Latex 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9308003 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9308003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149831 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Some remarks on the Kronheimer-Mrowka classes of algebraic surfaces | |
| dc.type | text |