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Minimality and irreducibility of symplectic four-manifolds

M. J. D. Hamilton·D. Kotschick
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Abstract

We prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of Kähler surfaces. This leads to a new proof of the deformation-invariance of holomorphic minimality for complex surfaces with even first Betti number which are not Hirzebruch surfaces.

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BibTeXRIS

M. J. D. Hamilton, D. Kotschick. 2006-01-02. Minimality and irreducibility of symplectic four-manifolds. https://doi.org/10.1155/imrn/2006/35032

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