Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A CONSTRAINT ON SYMPLECTIC STRUCTURE OF ${b_2}^{+}=1$ MINIMAL SYMPLECTIC FOUR-MANIFOLD

  • Published : 1999.02.01
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Abstract

Let X be a minimal symplectic four-manifold with ${b_2}^{+}$=1 and $c_1(K)^2\;\geq\;0$. Then we show that there are no symple tic structures $\omega$ such that $$c_1(K)$\cdot\omega$ > 0, if X contains an embedded symplectic submanifold $\Sigma$ satisfying $\int_\Sigmac_1$(K)<0.

Keywords

References

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