Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\)

DOI10.1016/S0926-2245(96)00041-1zbMath0880.53024WikidataQ115337617 ScholiaQ115337617MaRDI QIDQ1360098

Yasuyuki Nagatomo, Takashi Gyoshin Nitta

Publication date: 8 February 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

moduli space of instantons\(k\)-instantonsanti-selfdual bundles

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (1)

Representation theory and ADHM-construction on quaternion symmetric spaces

Cites Work

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• Instantons on \({\mathbb{C}}{\mathbb{P}}_ 2\)
• Vector bundles over quaternionic Kähler manifolds
• Construction of instantons
• Vector bundles on complex projective spaces
• Quaternionic Kaehler manifolds
• Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds
• Construction of \(c_ 2\)-self-dual bundles on a quaternionic projective space
• \(k\)-instantons on \(G_2(\mathbb{C}^{n+2})\) and stable vector bundles
• Duality and Yang–Mills fields on quaternionic Kähler manifolds
• Linear field equations on self-dual spaces
• Self-duality in four-dimensional Riemannian geometry
• Vanishing Theorems for Quaternionic Complexes
• Rigidity of c1-self-dual connections on quaternionic Kähler manifolds
• Differential geometry of quaternionic manifolds
• Yang-Mills fields on quaternionic spaces

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