Gauge fields and quaternion structure
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Publication:750917
DOI10.2996/kmj/1138038932zbMath0714.53027OpenAlexW2058395693MaRDI QIDQ750917
Publication date: 1988
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2996/kmj/1138038932
holonomymoduli spaceanti-self-dualYang-Mills connectionsholomorphic structureshyperkähler manifoldquaternion structure
Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Cites Work
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- Yang-Mills connections and the index bundles
- Polynomial invariants for smooth four-manifolds
- Hermitian manifolds with quaternion structure
- Variétés kähleriennes dont la première classe de Chern est nulle
- Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
- The moduli space of Yang-Mills connections over a Kähler surface is a complex manifold
- Instantons and geometric invariant theory
- Pseudofree orbifolds
- Geometry of anti-self-dual connections and Kuranishi map
- Submersions of CR submanifolds
- Singularities of the moduli space of Yang-Mills fields
- The Riemannian geometry of the Yang-Mills moduli space
- Quaternion structure on the moduli space of Yang-Mills connections
- Stability and isolation phenomena for Yang-Mills fields
- Reduction of symplectic manifolds with symmetry
- Witten's conjecture and Property P
- Self-dual Yang-Mills equations and Taubes' theorem
- Classification of oriented sphere bundles over a 4-complex
- Holomorphic bisectional curvature
- Dirac operators coupled to vector potentials
- Self-duality in four-dimensional Riemannian geometry
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