Casson--type invariants in dimension four
| dc.creator | Ruberman, Daniel | |
| dc.creator | Saveliev, Nikolai | |
| dc.date | 2005-01-06 | |
| dc.date.accessioned | 2026-07-07T05:15:53Z | |
| dc.date.available | 2026-07-07T05:15:53Z | |
| dc.description | This article surveys our ongoing project about the relationship between invariants extending the classical Rohlin invariant of homology spheres and those coming from 4-dimensional (Yang-Mills) gauge theory. The main conjecture towards which this project is directed is that the Rohlin invariant and the gauge theoretic invariant coincide for a homology $S^1\times S^3$. We discuss the implications of this conjecture for some classical problems in low-dimensional topology, and progress we have made towards proving the conjecture. | |
| dc.description | 30 pages, 5 figures. To appear in Proceedings of the Fields-McMaster Conference on Geometry and Topology of Manifolds | |
| dc.identifier | https://arxiv.org/abs/math/0501090 | |
| dc.identifier | http://arxiv.org/abs/math/0501090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73786 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27; 57R58; 58D27 | |
| dc.title | Casson--type invariants in dimension four | |
| dc.type | text |