An application of gauge theory to four-dimensional topology

1983/01/01 by Simon Donaldson · 25 citations
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Black Holes and Theoretical Physics

paper · pdf · doi:10.4310/jdg/1214437665

openalex publication_date 1983/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/11

Abstract

Soit X une u-variete compacte reguliere simplement connexe orientee avec la propriete que la forme associee Q est definie positive. Alors cette forme est equivalente, sur les entiers, a la forme diagonale standard, soit dans une base: Q(u 1 ,u 2 ,...u 2 )=u 2 1 +u 2 2 +...+u 2 2

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• The Normalized Ricci Flow on Four-Manifolds and Exotic Smooth Structures
• Let us twist again: N = 2 super-Yang–Mills theory coupled to matter
• Harmonic space, self-dual Yang-Mills and the N = 2 string
• Quasiconformal 4-manifolds
• Heegaard Floer homology and alternating knots
• Perspectives on geometric analysis
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Polynomial invariants for smooth four-manifolds
• Irrationality and the h-cobordism conjecture
• Monopole equation and the \dsize(11)/(8)-conjecture
• Gauge theory on asymptotically periodic 4-manifolds
• Surgeries, sharp 4–manifolds and the Alexanderpolynomial
• Topology in colored tensor models via crystallization theory
• A gluing theorem for the Kapustin–Witten equations with a Nahm pole
• Knot concordance and Heegaard Floer homology invariants in branched covers
• Topological AdS/CFT
• Uniform approximation of homeomorphisms by diffeomorphisms
• 4-manifold [wikipedia]
• Differentiable manifold [wikipedia]
• Donaldson's theorem [wikipedia]
• Simon Donaldson [wikipedia]