COHOMOLOGY RINGS OF TORIC HYPERKÄHLER MANIFOLDS

DOI10.1142/S0129167X00000490zbMath0991.53027MaRDI QIDQ4529123

Hiroshi Konno

Publication date: 10 September 2002

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

zbMATH Keywords

arrangement of hyperplanescohomology ringhyper-Kähler quotienttoric hyper-Kähler manifold

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

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Hyperpolygon spaces and their cores, On the cohomology of hyperkähler quotients, The hypertoric intersection cohomology ring, Kirwan surjectivity and Lefschetz-Sommese theorems for a generalized hyperkähler reduction, Hypertoric geometry and Gromov-Witten theory, Gale duality and Koszul duality, ORBIFOLD COHOMOLOGY OF HYPERTORIC VARIETIES, All the GIT quotients at once, The universal Poisson deformation of hypertoric varieties and some classification results, \(K\)-theory of toric hyperkähler manifolds, Quaternionic geometry of matroids, Localization algebras and deformations of Koszul algebras., Equivariant cohomology distinguishes the geometric structures of toric hyperkähler manifolds, 3d mirror symmetry and quantum \(K\)-theory of hypertoric varieties, Ehrhart theory for Lawrence polytopes and orbifold cohomology of hypertoric varieties, VARIATION OF TORIC HYPERKÄHLER MANIFOLDS, Group actions on quiver varieties and applications, Intersection cohomology of hypertoric varieties, The universal covers of hypertoric varieties and Bogomolov's decomposition

Cites Work

• Hyperkähler metrics and supersymmetry
• The construction of ALE spaces as hyper-Kähler quotients
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Birational equivalence in the symplectic category
• Variations of moduli of parabolic bundles
• The Self-Duality Equations on a Riemann Surface
• Hamiltoniens périodiques et images convexes de l'application moment
• Geometric invariant theory and flips
• MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I