Equivariant maps between sphere bundles over tori and KO-degree
| dc.creator | Furuta, M. | |
| dc.creator | Kametani, Y. | |
| dc.date | 2005-02-24 | |
| dc.date | 2005-03-14 | |
| dc.date.accessioned | 2026-07-07T05:17:26Z | |
| dc.date.available | 2026-07-07T05:17:26Z | |
| dc.description | We show a non-existence result for some class of equivariant maps between sphere bundles over tori. The notion of equivariant KO-degree is used in the proof. As an application to Seiberg-Witten theory, for a connected closed oriented spin 4-manifold with indefinite intersection form, we have a new bound of the second Betti number by the signature and a non-negative integer determined by the quadruple cup product on the first cohomology group and some maps in KO-theory induced from the Albanese map. | |
| dc.description | 33 pages, rearranged and partially rewritten | |
| dc.identifier | https://arxiv.org/abs/math/0502511 | |
| dc.identifier | http://arxiv.org/abs/math/0502511 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74305 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57R57 (Primary) 19L47 (Secondary) | |
| dc.title | Equivariant maps between sphere bundles over tori and KO-degree | |
| dc.type | text |