A hyper-Kähler Fourier transform

DOI10.1016/S0926-2245(98)00009-6zbMath0951.32018OpenAlexW2029494418WikidataQ115337507 ScholiaQ115337507MaRDI QIDQ1295458

Claudio Bartocci, Ugo Bruzzo, Daniel Hernandez Ruiperez

Publication date: 3 January 2001

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(98)00009-6

zbMATH Keywords

instantonshyper-Kähler manifoldsFourier-Mukai transformquaternionic-Kähler manifolds

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Kähler manifolds (32Q15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

Related Items (5)

\(tt^{*}\) geometry in 3 and 4 dimensions ⋮ Local Nahm transform and singularity formation of ASD connections ⋮ Hyperholomorphic connections on coherent sheaves and stability ⋮ A survey on Nahm transform ⋮ Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves

Cites Work

• Yang-Mills connections and the index bundles
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Instantons on \({\mathbb{C}}{\mathbb{P}}_ 2\)
• Hyperkähler metrics and supersymmetry
• Vector bundles over quaternionic Kähler manifolds
• Quaternionic Kaehler manifolds
• Quaternionic complexes
• Fourier-Mukai transform and index theory
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• Duality between D(X) and with its application to picard sheaves
• Dirac operators coupled to vector potentials
• The Geometry Underlying Mirror Symmetry
• A Fourier-Mukai Transform for Stable Bundles on K3 Surfaces
• Yang-Mills fields on quaternionic spaces
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