On a proof of the 10/8-conjecture
Jin-Hong Kim
Abstract
Let X be a smooth closed oriented non-spin 4-manifold with even intersection form kE8 nH. In this article we show that n≥ |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.
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