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Symplectic surfaces and generic J-holomorphic structures on 4-manifolds | Stanislav Jabuka
; | Date: |
4 Jul 2002 | Subject: | Symplectic Geometry MSC-class: 32Q65; 53D50 | math.SG | Abstract: | It is a well known fact that every embedded symplectic surface $Sigma$ in a symplectic 4-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 $J$ can be chosen from a generic set of almost-complex structures. As an application we give examples of smooth and non-empty Seiberg-Witten and Gromov-Witten moduli spaces whose associated invariants are zero. | Source: | arXiv, math.SG/0207052 | Services: | Forum | Review | PDF | Favorites |
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