Representation theory and ADHM-construction on quaternion symmetric spaces
DOI10.1090/S0002-9947-01-02829-XzbMath0980.53037OpenAlexW1561497461MaRDI QIDQ2731946
Publication date: 30 July 2001
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02829-x
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Homogeneous complex manifolds (32M10)
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Cites Work
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- Moduli space of 1-instantons on a quaternionic projective space \({\mathbb{H}}{\mathbb{P}}^ n\)
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- Lie algebra cohomology and the generalized Borel-Weil theorem
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- Mathematical instanton bundles on P2n+1
- Kählerian Twistor Spaces
- Examples of Rank Three Vector Bundles on Fivedimensional Projective Space
- Self-duality in four-dimensional Riemannian geometry
- Stability of Special Instanton Bundles on ℙ 2n + 1
- Vanishing Theorems for Quaternionic Complexes
- Rigidity of c1-self-dual connections on quaternionic Kähler manifolds
- Yang-Mills fields on quaternionic spaces
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