On a proof of the 10/8-conjecture

Details On a proof of the 10/8-conjecture On a proof of the 10/8-conjecture

2000-07-30

arxiv.org/abs/math/0007188v2

Mathematics

Differential Geometry

11 pages. The proof has been replaced, due to an error

Scientific paper

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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