Simple vector bundles over symplectic Kähler manifolds

DOI10.3792/PJAA.62.21zbMath0602.53044OpenAlexW2069708896MaRDI QIDQ1081856

Shoshichi Kobayashi

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.21

zbMATH Keywords

Kähler manifoldmoduli spacesymplectic structurecomplex manifoldcomplex vector bundleholomorphic structure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Complex manifolds (32Q99)

Related Items (4)

Moduli spaces of simple bundles and Hermitian-Einstein connections ⋮ Atiyah classes and closed forms on moduli spaces of sheaves ⋮ Quaternion structure on the moduli space of Yang-Mills connections ⋮ Symplectic structures on moduli spaces of sheaves via the Atiyah class

Cites Work

• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Geometry of anti-self-dual connections and Kuranishi map
• Reduction of symplectic manifolds with symmetry
• The Yang-Mills equations over Riemann surfaces

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