The orientation of Yang-Mills moduli spaces and 4-manifold topology

1987/01/01 by Simon Donaldson, S. K. Donaldson · 15 citations
Mathematics · #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.4310/jdg/1214441485

crossref issued 1987/01/01 · crossref published 1987/01/01 · crossref published-print 1987/01/01 · openalex publication_date 1987/01/01 · crossref created 2017/03/16 · crossref deposited 2022/07/26 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/01

Abstract

Si X est une 4-variete lisse orientee fermee dont la forme intersection Q:H 2 (X; Z)/Torsion→Z est definie negative, alors la forme est equivalente sur les entiers a la forme standard (−1)○+(−1)○+..○+(−1). Soit X une 4-variete lisse orientee fermee avec les trois proprietes suivantes: 1) H 1 (X; Z) n'a pas de 2-torsion; 2) la forme intersection Q sur H 2 (X)/torsion a une partie positive de rang 1 ou 2; 3) la forme intersection est paire. Alors Q est equivalente sur les entiers a une des formes (01/10), (01/10)○+(01/10)

Citations

• An application of gauge theory to four-dimensional topology

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• Donaldson's theorem [wikipedia]
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