Metrics on the moduli spaces of instantons over Euclidean 4-space

DOI10.1007/BF02104116zbMath0734.53025OpenAlexW2082892550MaRDI QIDQ810888

Antony Maciocia

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104116

zbMATH Keywords

hyper-Kähler metricsmoduli spaceconnectionADHM matricesEuclidean four-space

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (15)

Trihyperkähler reduction and instanton bundles on ⋮ Instantons on gravitons ⋮ \(L^2\)-cohomology for affine spaces and an application to monads ⋮ HyperKähler and quaternionic Kähler geometry ⋮ An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg–Witten Invariants ⋮ The semi-algebraicity of the Uhlenbeck compactification of \(S^4\) instanton moduli spaces ⋮ Instanton moduli as a novel map from tori to K3-surfaces ⋮ The calculus of many instantons ⋮ On the multi-instanton measure for super Yang-Mills theories ⋮ Nonlinear Dirac operator and quaternionic analysis ⋮ Hyperkähler metrics near Lagrangian submanifolds and symplectic groupoids ⋮ On Matrix models of M5 branes. ⋮ Holomorphic Chern-Simons-Witten theory: From 2D to 4D conformal field theories ⋮ Quaternionic geometry of a nilpotent variety ⋮ The Plancherel theorem for Fourier-Laplace-Nahm transform for connections on the projective line

Cites Work

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• Stability in Yang-Mills theories
• Instantons and geometric invariant theory
• Hyperkähler metrics and supersymmetry
• Infinite determinants, stable bundles and curvature
• Connections, cohomology and the intersection forms of 4-manifolds
• The Riemannian geometry of the Yang-Mills moduli space
• Nahm's transformation for instantons
• The geometry of the Yang-Mills moduli space for definite manifolds
• Removable singularities in Yang-Mills fields

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