Moduli of anti-self-dual connections on Kaehler manifolds

DOI10.3792/pjaa.57.176zbMath0493.58018OpenAlexW2087429013MaRDI QIDQ1168628

Mitsuhiro Itoh

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.176

zbMATH Keywords

moduli spacesAtiyah-Singer index theoremKaehler 2- manifolds with a positive scalar curvaturemoduli of self-dual connectionsprincipal bundle with compact semi-simple Lie group as structure groupspaces of infinitesimal deformations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Constructive quantum field theory (81T08) Index theory and related fixed-point theorems on manifolds (58J20) Deformations of general structures on manifolds (58H15) Differential complexes (58J10) Complex manifolds (32Q99) Connections (general theory) (53C05) Deformations of complex structures (32G05)

Related Items (max. 100)

Curvature and stability of vector bundles ⋮ Curvature and stability of vector bundles ⋮ On the moduli space of anti-self-dual Yang-Mills connections on Kähler surfaces ⋮ Geometry of Yang-Mills connections over a Kähler surface

Cites Work

• Stability and isolation phenomena for Yang-Mills fields
• Moduli of vector bundles on the projective plane
• The moduli space of anti-self-dual connections over Hermitian surfaces
• The index of elliptic operators. III
• Self-duality in four-dimensional Riemannian geometry

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