Gauge fields and holomorphic geometry

DOI10.1007/BF01084284zbMath0507.53047MaRDI QIDQ1837410

Yuri I. Manin

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

curvatureconnectionsgauge fieldsheaf cohomologyholomorphic bundlesYang-Mills equations

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Integral geometry (53C65) Differential forms in global analysis (58A10) Singular homology and cohomology theory (55N10)

Related Items

Analysis on Analytic Spaces and Non-Self-Dual Yang-Mills Fields, Twistor-like transform in ten dimensions, Differential-geometric structures and gauge theories, Berezinians in substitution structures, N=3 extended supersymmetric gauge theories and an explicit construction of higher conservation laws, Off-shell superconformal nonlinear sigma-models in three dimensions, Quantum Klein space and superspace, Supersymmetry, Twistors, and the Yang-Mills Equations

Cites Work

• Construction of instantons
• Isotopic types of nonsingular surfaces of fourth degree in \(\mathbb{R} P^3\)
• Poles of instantons and jumping lines of algebraic vector bundles on \(P^ 3\).
• Instantons and algebraic geometry
• Moduli of vector bundles on the projective plane
• A description of instantons
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Algebraic geometry and local differential geometry
• Self-duality in four-dimensional Riemannian geometry
• The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
• On self-dual gauge fields
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