Instanton invariants and flat connections on the Kummer surface

DOI10.1215/S0012-7094-91-06411-2zbMath0754.57015OpenAlexW1552530909MaRDI QIDQ1190834

Peter B. Kronheimer

Publication date: 27 September 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06411-2

zbMATH Keywords

orbifoldKummer surfacemoduli space of flat connectionsdiffeomorphism typeshomotopy K3- surfaceinstanton invariant for the \(K3\) surfacelogarithmic transform

Mathematics Subject Classification ID

Differentiable structures in differential topology (57R55) Differential complexes (58J10) Compact complex surfaces (32J15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Surgery in cusp neighborhoods and the geography of irreducible 4-manifolds, The smooth classification of elliptic surfaces with \(b^ +>1\), Some computations of Donaldson's invariants via flat connections, The simple invariant and differentiable structures on the Horikawa surface, \(G_{2}\)-instantons on generalised Kummer constructions, Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem, Growth of Casson handles and transversality for ASD moduli spaces, Torus sum formula of simple invariants for 4-manifolds, The exactness theorem for Floer homology, Rohlin's invariant and gauge theory III. Homology \(4\)--tori

Cites Work

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• Irreducible 4-manifolds need not be complex
• Polynomial invariants for smooth four-manifolds
• Nuclei of elliptic surfaces
• Complex versus differentiable classification of algebraic surfaces
• Pseudofree orbifolds
• Irrationality and the h-cobordism conjecture
• Connections, cohomology and the intersection forms of 4-manifolds
• Homotopy \(K3\) surfaces containing \(\Sigma{} (2,3,7)\)
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Seifert fibered 3-manifolds and nonorientable 4-manifolds