  Let X be a smooth closed oriented non-spin 4-manifold with even intersection
form kE_8\oplus nH. In this article we show that n\geq |k| on X. Thus we
confirm the 10/8-conjecture affirmatively. As an application, we also give an
estimate of intersection forms of spin coverings of non-spin 4-manifolds with
even intersection forms.

Differential Geometry