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Symplectic Surfaces and Generic J -holomorphic Structures on 4-Manifolds
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jabuka, Stanislav |
| Copyright Year | 2004 |
| Abstract | It is a well known fact that every embedded symplectic surface Σ in a symplectic four-manifold (X, ω) can be made J-holomorphic for some almost-complex structure J compatible with ω. In this paper we investigate when such a J can be chosen generically in the sense of Taubes (for definition, see below). The main result is stated in Theorem 1.2 below. As an application we give examples of smooth and non-empty Seiberg-Witten and Gromov-Witten moduli spaces whose associated invariants are zero. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0207052v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0207052v1.pdf |
| Alternate Webpage(s) | http://www.math.uiuc.edu/~hildebr/ijm/summer04/final/jabuka.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Embedded system Embedding Ian H. Witten Symplectic integrator manifold |
| Content Type | Text |
| Resource Type | Article |