VARIATION OF TORIC HYPERKÄHLER MANIFOLDS

DOI10.1142/S0129167X03001764zbMath1054.53069MaRDI QIDQ4474419

Hiroshi Konno

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

toric varietyhyper-Kähler manifoldhyper-Kähler quotient

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Momentum maps; symplectic reduction (53D20) Deformations of complex structures (32G05)

Related Items (6)

On the cohomology of hyperkähler quotients ⋮ Quantum cohomology of hypertoric varieties ⋮ Virtual Coulomb branch and vertex functions ⋮ The universal Poisson deformation of hypertoric varieties and some classification results ⋮ 3d mirror symmetry and quantum \(K\)-theory of hypertoric varieties ⋮ The universal covers of hypertoric varieties and Bogomolov's decomposition

Cites Work

• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Hyperkähler metrics and supersymmetry
• Compact hyperkähler manifolds: Basic results
• Complete hyperkähler \(4n\)-manifolds with a local tri-Hamiltonian \(\mathbb{R}^n\)-action
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Birational equivalence in the symplectic category
• Geometric Invariant Theory
• COHOMOLOGY RINGS OF TORIC HYPERKÄHLER MANIFOLDS
• Geometric invariant theory and flips

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