Homotopy \(K3\) surfaces and \(\text{mod }2\) Seiberg-Witten invariants
Let \(X\) be a closed smooth four-manifold which is homotopy equivalent to a K3 surface. Let \(P\to X\) be the unique \(\text{Spin}^c\)-structure up to isomorphism with trivial determinant line bundle. Then the value of the Seiberg-Witten invariant of \(P\) is congruent to one modulo two.
scientific article; zbMATH DE number 1019782