On a proof of the 10/8-conjecture

2000/07/30 by Jin-Hong Kim, Jin‐Hong Kim, Kim, Jin-Hong
Mathematics · #57R55 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #math.DG #msc:57R55

paper · pdf · doi:10.48550/arxiv.math/0007188

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

openalex publication_date 2000/07/30 · arxiv created 2000/10/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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