Non-complex symplectic 4-manifolds with $b_{2}^{+}=1$
| dc.creator | Park, Jongil | |
| dc.date | 2001-08-31 | |
| dc.date.accessioned | 2026-07-07T04:43:12Z | |
| dc.date.available | 2026-07-07T04:43:12Z | |
| dc.description | In this short article we give a criterion whether a given minimal symplectic 4-manifold with $b_{2}^{+}=1$ having a torsion-free canonical class is rational or ruled. As a corollary, we confirm that most of homotopy elliptic surfaces $E(1}_{K}$, K is a fibered knot in $S^3$, constructed by R. Fintushel and R. Stern are minimal symplectic 4-manifolds with $b_{2}^{+}=1$ which do not admit a complex structure. | |
| dc.description | AMS-LaTeX file, 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0108220 | |
| dc.identifier | http://arxiv.org/abs/math/0108220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62116 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17, 57R57 | |
| dc.title | Non-complex symplectic 4-manifolds with $b_{2}^{+}=1$ | |
| dc.type | text |