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 Generalized Thom conjecture for almost complex 4-manifolds Bull. Korean Math. Soc. 1997 Vol. 34, No. 3, 403-409 Yong Seung Cho Ewha Women's Unversity Abstract : Let $X$ be a closed almost complex 4-manifold with $b_2^+ (X) >1$, and have its canonical line bundle as a basic class. Then the pseudo-holomorphic 2-dimensional submanifolds in $X$ with non-negative self-intersection minimize genus in their homology classes. Keywords : Seiberg-Witten invariant, Almost complex 4-manifold, Vortex equation MSC numbers : 57N13, 58B15 Downloads: Full-text PDF