Toric hypersymplectic quotients

DOI10.1090/S0002-9947-06-03925-0zbMath1113.53031arXivmath/0404547MaRDI QIDQ3420270

Andrew S. Dancer, Andrew F. Swann

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404547

zbMATH Keywords

toric varietymoment maphypersymplectic structureneutral hyper-Kähler manifold

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Momentum maps; symplectic reduction (53D20)

Related Items (4)

Hyper-para-Kähler Lie algebras with abelian complex structures and their classification up to dimension 8 ⋮ Special symplectic Lie groups and hypersymplectic Lie groups ⋮ Complex product structures and affine foliations ⋮ \(k\)-symplectic structures and absolutely trianalytic subvarieties in hyperkähler manifolds

Cites Work

• Double products and hypersymplectic structures on \(\mathbb R^{4n}\)
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Hyperkähler metrics and supersymmetry
• Quaternionic reduction and quaternionic orbifolds
• Kaehler structures on toric varieties
• Actions for \((2,1)\) sigma models and strings
• Properties of the residual circle action on a hypertoric variety.
• Neutral Calabi-Yau structures on Kodaira manifolds
• Neutral hyperkähler structures on primary Kodaira surfaces
• Hamiltoniens périodiques et images convexes de l'application moment
• The geometry and topology of toric hyperkähler manifolds

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