Analysis on Analytic Spaces and Non-Self-Dual Yang-Mills Fields

DOI10.2307/1999947zbMath0533.32014OpenAlexW2015261262MaRDI QIDQ3315779

Nicholas P. Buchdahl

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999947

zbMATH Keywords

currentextension problem for analytic objectsholomorphic de Rham complexnon-self-dual Yang-Mills field

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) de Rham theory in global analysis (58A12) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) de Rham cohomology and algebraic geometry (14F40) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Integration on analytic sets and spaces, currents (32C30)

Related Items

Supersymmetric Yang-Mills equations and supertwistors ⋮ Six-dimensional superconformal field theories from principal 3-bundles over twistor space ⋮ Supersymmetry, Twistors, and the Yang-Mills Equations ⋮ Projective connections, double fibrations and formal neighbourhoods of lines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous vector bundles
• The first formal neighbourhood of ambitwistor space for curved space- time
• Construction of instantons
• Cohomology and massless fields
• Stability and isolation phenomena for Yang-Mills fields
• Complex analytic geometry
• Nonlinear gravitons and curved twistor theory
• Gauge fields and holomorphic geometry
• Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen
• Deformationen von Singularitäten komplexer Räume
• Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
• The generalized Penrose-Ward transform
• On the Relative De Rham Sequence
• The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
• On self-dual gauge fields