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Displaying similar documents to “Rational surfaces and symplectic 4-manifolds with one basic class.”

The geography of simply-connected symplectic manifolds

Mi Sung Cho, Yong Seung Cho (2003)

Czechoslovak Mathematical Journal

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By using the Seiberg-Witten invariant we show that the region under the Noether line in the lattice domain × is covered by minimal, simply connected, symplectic 4-manifolds.

Immersed spheres in symplectic 4-manifolds

Dusa McDuff (1992)

Annales de l'institut Fourier

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We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of J -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.