Genus Minimizing in Symplectic 4-Manifolds
Yongseung Cho , Misung Cho
Chinese Annals of Mathematics, Series B ›› 2000, Vol. 21 ›› Issue (1) : 115 -120.
Genus Minimizing in Symplectic 4-Manifolds
The authors show that a symplectically embedded surface in a symplectic 4-manifold with b 2 + greater than one minimizes genus in its homology class.
Generalized Thorn Conjecture / Seiberg-Witten invariant / Symplectic 4-manifolds / 58B15 / 57R40 / O189.3+2
| [1] |
Auckly, D., Homotopy K3 surfaces and gluing results in Seiberg-Witten theory, Three lectures for the GARC, 1996. |
| [2] |
Cho, Y. S., Seiberg-Witten invariants on non-symplectic 4-manifolds, to appear in Osaka J. Math.. |
| [3] |
|
| [4] |
Cho, Y. S., Generalized Thom Conjecture for almost complex manifolds, Preprint. |
| [5] |
|
| [6] |
|
| [7] |
Cho, M. S. & Cho, Y. S., The geography of simply connected symplectic manifolds, Preprint. |
| [8] |
|
| [9] |
Kirby, R., Problems in low-dimensional topology, Berkeley, 1995. |
| [10] |
|
| [11] |
|
| [12] |
McDuff, D. & Salamon, D., Introduction to symplectic topology, Clarendon Press, Oxford, 1995. |
| [13] |
Morgan, J., Szabó, Z. & Taubes, C., A product formula for the Seiberg-Witten invariants and the generalized Thom Conjecture, Preprint, 1995. |
| [14] |
|
| [15] |
|
| [16] |
Taubes, C., From the Seiberg-Witten equations to pseudd-holomorphic curves, Preprint. |
| [17] |
|
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