An SO(3)-version of 2-torsion instanton invariants
| dc.creator | Sasahira, H. | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T07:41:30Z | |
| dc.date.available | 2026-07-07T07:41:30Z | |
| dc.description | We construct an invariant for non-spin 4-manifolds by using 2-torsion cohomology classes of moduli spaces of instantons on SO(3)-bundles. The invariant is an SO(3)-version of Fintushel-Stern's 2-torsion instanton invariant. We show that this SO(3)-torsion invariant is non-trivial for $2CP^2 # -CP^2$, while it is known that any known invariant of $2CP^2 # -CP^2$ coming from the Seiberg-Witten theory is trivial since $2CP^2 # -CP^2$ has a positive scalar curvature metric. | |
| dc.identifier | https://arxiv.org/abs/math/0701469 | |
| dc.identifier | http://arxiv.org/abs/math/0701469 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122133 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R57 | |
| dc.title | An SO(3)-version of 2-torsion instanton invariants | |
| dc.type | text |