Symplectic surfaces and generic $J$-holomorphic structures on 4-manifolds
Jabuka, Stanislav
Illinois J. Math., Tome 48 (2004) no. 3, p. 675-685 / Harvested from Project Euclid
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It is a well known fact that every embedded symplectic surface $\Sigma$ in a symplectic four-manifold $(X^4,\omega )$ can be made $J$-holomorphic for some almost-complex structure $J$ compatible with $\omega$. In this paper we investigate when such a structure $J$ can be chosen generically in the sense of Taubes. The main result is stated in Theorem 1.2. As an application of this result we give examples of smooth and non-empty Seiberg-Witten and Gromov-Witten moduli spaces whose associated invariants are zero.
Publié le : 2004-04-15
Classification:  53D35,  53D45,  57R17 
@article{1258138406,
     author = {Jabuka, Stanislav},
     title = {Symplectic surfaces and generic $J$-holomorphic structures on 4-manifolds},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 675-685},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138406}
}

Jabuka, Stanislav. Symplectic surfaces and generic $J$-holomorphic structures on 4-manifolds. Illinois J. Math., Tome 48 (2004) no. 3, pp.  675-685. http://gdmltest.u-ga.fr/item/1258138406/