Abstract
A product formula for Seiberg–Witten invariants is proved in the case when the 4-manifold under examination is split along the Seifert fibered homology sphere Σ(2,3,11). As an application of the formula homotopy K3 surfaces not containing any of the nuclei N(2) p, q are constructed. As another application we study embeddings of Σ(2,3,11) into homotopy K3 surfaces.
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