GKM theory and Hamiltonian non-Kähler actions in dimension 6
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Publication:2180898
DOI10.1016/j.aim.2020.107141zbMath1439.57055arXiv1903.11684OpenAlexW3020157609MaRDI QIDQ2180898
Panagiotis Konstantis, Leopold Zoller, Oliver Goertsches
Publication date: 15 May 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.11684
Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91)
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Remark on the Betti numbers for Hamiltonian circle actions ⋮ Circle actions on 8-dimensional almost complex manifolds with 4 fixed points ⋮ On independent GKM-graphs without nontrivial extensions ⋮ Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions ⋮ GKM manifolds are not rigid ⋮ Symplectic and Kähler structures on \(\mathbb{C}P^1\)-bundles over \(\mathbb{C}P^2\) ⋮ On the sign ambiguity in equivariant cohomological rigidity of GKM graphs ⋮ Reconstructing the orbit type stratification of a torus action from its equivariant cohomology
Cites Work
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- Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand
- On manifolds homeomorphic to the 7-sphere
- Convex polytopes, Coxeter orbifolds and torus actions
- On the cohomology of torus manifolds
- Exact cohomology sequences with integral coefficients for torus actions
- Cohomology of biquotients
- Examples of non-Kähler Hamiltonian torus actions
- Multiplicity-free Hamiltonian actions need not be Kähler
- Equivariant cohomology, Koszul duality, and the localization theorem
- Inhomogeneous spaces of positive curvature
- Complete invariants for Hamiltonian torus actions with two dimensional quotients
- Cubic forms and complex 3-folds
- Equivariant \(K\)-theory of GKM bundles
- Graph equivariant cohomological rigidity for GKM graphs
- Symplectic and Kähler structures on biquotients
- Symplectic and Kähler structures on \(\mathbb{C}P^1\)-bundles over \(\mathbb{C}P^2\)
- Topology of non-negatively curved manifolds
- Classification problems in differential topology. V: On certain 6- manifolds
- Positively Curved GKM-Manifolds
- Convexity and Commuting Hamiltonians
- Characteristic Classes. (AM-76)
- Automorphisms of multiplicity free Hamiltonian manifolds
- Topology of Lie groups and characteristic classes
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