Hypergeometric functions and moduli spaces of null-correlation bundles

DOI10.1063/1.533173zbMath0974.32007OpenAlexW2056276809MaRDI QIDQ2737864

Takashi Gyoshin Nitta, Tadashi Taniguchi

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533173

zbMATH Keywords

hypergeometric functionsmoduli spacenull-correlation bundlesPenrose twistor correspondence

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Kähler-Einstein manifolds (32Q20) Applications of hypergeometric functions (33C90) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Appell, Horn and Lauricella functions (33C65)

Cites Work

• Holomorphe Vektorbündel auf \({\mathbb{P}}_ n\) mit \(c_ 1=0\) und \(c_ 2=1\)
• Moduli of Hermite-Einstein vector bundles
• Geometry of anti-self-dual connections and Kuranishi map
• The Riemannian geometry of the Yang-Mills moduli space
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Vector bundles over quaternionic Kähler manifolds
• On the geometry of Sp(1)-instantons with Pontrjagin index 1 on the 4- sphere
• Quaternionic Kaehler manifolds
• Yang-Mills fields on quaternionic spaces