Spin structures on the Seiberg-Witten moduli spaces
| dc.creator | Sasahira, H. | |
| dc.date | 2004-04-15 | |
| dc.date | 2007-01-17 | |
| dc.date.accessioned | 2026-07-07T07:41:15Z | |
| dc.date.available | 2026-07-07T07:41:15Z | |
| dc.description | Let $M$ be an oriented closed 4-manifold and $\cL$ be a $spin^c$ structure on $M$. In this paper we prove that under a suitable condition the Seiberg-Witten moduli space has a canonical spin structure and its spin bordism class is an invariant for $M$. We show that the invariant for $M=#_{j=1}^l M_j$ is not zero, where each $M_j$ is a $K3$ surface or a product of two oriented closed surfaces with odd genus and $l$ is 2 or 3. As a corollary, we obtain the adjunction inequality for $M$. Moreover we show that $M # N$ does not admit Einstein metric for some $N$ with $b^+(N)=0$. | |
| dc.description | Corrected typeos | |
| dc.identifier | https://arxiv.org/abs/math/0404275 | |
| dc.identifier | http://arxiv.org/abs/math/0404275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122039 | |
| dc.subject | Differential Geometry | |
| dc.subject | 57R57 | |
| dc.title | Spin structures on the Seiberg-Witten moduli spaces | |
| dc.type | text |