Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions

DOI10.1112/s0010437x2300742xarXiv2003.11298OpenAlexW3013663337MaRDI QIDQ6093298

Panagiotis Konstantis, Oliver Goertsches, Leopold Zoller

Publication date: 6 September 2023

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11298

zbMATH Keywords

equivariant topologycohomogeneity one manifoldsequivariant obstruction theoryHamiltonian non-Kähler actionsequivariant geometric structuresGKM fibrationsrealization of GKM graphs

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Symplectic manifolds (general theory) (53D05) Kähler manifolds (32Q15) Equivariant homology and cohomology in algebraic topology (55N91)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology of GKM fiber bundles
• Algebraic geometry and analytic geometry
• On a compact Lie group acting on a manifold
• Convex polytopes, Coxeter orbifolds and torus actions
• On the cohomology of torus manifolds
• Equivariant almost complex structures on quasitoric manifolds
• Transformation groups
• Equivariant bundles
• Riemannian \(G\)-manifold with one-dimensional orbit space
• Examples of non-Kähler Hamiltonian torus actions
• Multiplicity-free Hamiltonian actions need not be Kähler
• Equivariant cohomology, Koszul duality, and the localization theorem
• Equivariant de Rham theory and graphs
• Cohomogeneity one topological manifolds revisited
• Inhomogeneous spaces of positive curvature
• 1-skeleta, Betti numbers, and equivariant cohomology
• Complex geometry. An introduction
• Complete invariants for Hamiltonian torus actions with two dimensional quotients
• Cubic forms and complex 3-folds
• Non-negatively curved GKM orbifolds
• GKM theory and Hamiltonian non-Kähler actions in dimension 6
• Graph equivariant cohomological rigidity for GKM graphs
• Symplectic and Kähler structures on biquotients
• Faserbündel mit Gruppenoperation
• Equivariant differential topology
• Projective bundles over toric surfaces
• Hamiltoniens périodiques et images convexes de l'application moment
• Periodic Hamiltonian flows on four-dimensional manifolds
• Toric Topology
• Vector Bundles on Algebraic Surfaces