Monopole classes and Einstein metrics
| dc.creator | Kotschick, D. | |
| dc.date | 2003-06-01 | |
| dc.date.accessioned | 2026-07-07T04:58:28Z | |
| dc.date.available | 2026-07-07T04:58:28Z | |
| dc.description | We introduce the notion of a special monopole class on a four-manifold. This is used to prove restrictions on the smooth structures of Einstein manifolds. As an application we prove that there are Einstein four-manifolds which are simply connected, spin, and satisfy the strict Hitchin--Thorpe inequality, and which are homeomorphic to manifolds without Einstein metrics. In the Appendix, written with J. Wehrheim, we use special monopole classes to discuss the classification of Ricci-flat four-manifolds. | |
| dc.description | 17 pages. Includes an Appendix on ``Ricci-flat four-manifolds'' by D. Kotschick and J. Wehrheim | |
| dc.identifier | https://arxiv.org/abs/math/0306022 | |
| dc.identifier | http://arxiv.org/abs/math/0306022 | |
| dc.identifier | Int. Math. Res. Not. 2004:12 (2004), 593--609. | |
| dc.identifier | doi:10.1155/S1073792804131802 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67648 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R57; 53C25, 57R55 | |
| dc.title | Monopole classes and Einstein metrics | |
| dc.type | text |