摘要
Let X be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to n(-E(8)) circle plus mH, where H is the hyperbolic form. In this paper, we prove that for n such that n equivalent to 2 mod 4, there exists a locally linear pseudofree Z(2)-action on X which is nonsmoothable with respect to any possible smooth structure on X.