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On a proof of the 10/8-conjecture

Jin-Hong Kim
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Abstract

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.

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Jin-Hong Kim. 2000-10-26. On a proof of the 10/8-conjecture. https://arxiv.org/abs/math/0007188

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