On the Atiyah-Hitchin-Drinfeld-Manin vanishing theorem for cohomology groups of instanton bundles

DOI10.1007/BF01406707zbMath0381.55003MaRDI QIDQ1248255

John H. Rawnsley

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163250

zbMATH Keywords

COHOMOLOGY GROUPSINSTANTON BUNDLESVANISHING THEOREM

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Connections (general theory) (53C05) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

The Penrose transform in quaternionic geometry ⋮ Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds ⋮ Twistor theory of symplectic manifolds

Cites Work

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• Construction of instantons
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• Stable vector bundles and instantons
• Monads and moduli of vector bundles
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• Deformations of instantons
• Self-duality in four-dimensional Riemannian geometry