On a proof of the 10/8-conjecture
Differential Geometry
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0007188,
title = {On a proof of the 10/8-conjecture},
author = {Jin-Hong Kim},
journal= {arXiv preprint arXiv:math/0007188},
year = {2007}
}
Comments
11 pages. The proof has been replaced, due to an error