Vector bundles over quaternionic Kähler manifolds
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Publication:1114178
DOI10.2748/tmj/1178227984zbMath0663.53055OpenAlexW2000570259MaRDI QIDQ1114178
Publication date: 1988
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178227984
holomorphic vector bundlesquaternionic Kähler manifoldYang-Mills connectionselliptic complexanti-self-dual connections\(A_ 2\)-connections\(B_ 2\)-connectionsHermitian pairtwister space
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Twistor theory, double fibrations (complex-analytic aspects) (32L25)
Related Items (19)
\(tt^{*}\) geometry in 3 and 4 dimensions ⋮ Topological quantum field theory in quaternionic geometry ⋮ Moduli spaces of \(B_ 2\)-connections over quaternionic Kähler manifolds ⋮ Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\) ⋮ Connections for vector bundles over quaternionic Kähler manifolds ⋮ Matryoshka of special democratic forms ⋮ Instantons on Calabi-Yau and hyper-Kähler cones ⋮ On weakly stable Yang-Mills fields over positively pinched manifolds and certain symmetric spaces ⋮ Yang-Mills connections on quaternionic Kähler quotients ⋮ Representation theory and ADHM-construction on quaternion symmetric spaces ⋮ Hypergeometric functions and moduli spaces of null-correlation bundles ⋮ Oxidation of self-duality to 12 dimensions and beyond ⋮ Real and complex't Hooft instanton bundles over ℙ2n+1(ℂ) ⋮ Hyperkähler cones and instantons on quaternionic Kähler manifolds ⋮ Moduli spaces of framed instanton bundles on \(\mathbb {CP}^3\) and twistor sections of moduli spaces of instantons on \(\mathbb C^2\) ⋮ Rigidity of c1-self-dual connections on quaternionic Kähler manifolds ⋮ Instantons on hyperkähler manifolds ⋮ A hyper-Kähler Fourier transform ⋮ Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds
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