Dimensional reduction and moment maps

DOI10.1016/S0393-0440(01)00056-0zbMath1007.53025OpenAlexW2004829984WikidataQ125819671 ScholiaQ125819671MaRDI QIDQ1602437

Yasuyuki Nagatomo

Publication date: 23 June 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00056-0

zbMATH Keywords

reductionmomentum maps

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Momentum maps; symplectic reduction (53D20)

Related Items (1)

A New look at the vortex equations and dimensional reduction

Cites Work

• Instantons and geometric invariant theory
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Hyperkähler metrics and supersymmetry
• Quaternionic reduction and quaternionic orbifolds
• Examples of vector bundles admitting unique ASD connections on quaternion-Kähler manifolds
• Constructions of contact manifolds
• Rigidity of c1-self-dual connections on quaternionic Kähler manifolds
• Yang-Mills fields on quaternionic spaces
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