## Stable-homotopy Seiberg-Witten Invariants for Rational Cohomology K3#K3's

J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 1, Page 157--176.

Furuta, M. ; Kametani, Y. ; Minami, N.
Stable-homotopy Seiberg-Witten Invariants for Rational Cohomology K3#K3's
We show that if $X$ is a closed spin 4-manifold which has the same rational cohomology ring as $K3 \# K3$, then the stable-homotopy Seiberg-Witten invariant is non-trivial for every spin structure on XÎ½ll. As an application we obtain a generalized adjunction inequality for such manifolds.