GKM manifolds are not rigid
From MaRDI portal
Publication:2688273
DOI10.2140/agt.2022.22.3511OpenAlexW3044878944MaRDI QIDQ2688273
Leopold Zoller, Oliver Goertsches, Panagiotis Konstantis
Publication date: 2 March 2023
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.13620
Equivariant algebraic topology of manifolds (57R91) Equivariant homology and cohomology in algebraic topology (55N91) Momentum maps; symplectic reduction (53D20) Toric topology (57S12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological classification of quasitoric manifolds with second Betti number 2
- Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand
- Topological classification of torus manifolds which have codimension one extended actions
- Rigidity problems in toric topology: a survey
- On the suspension sequence
- Generalized Poincaré's conjecture in dimensions greater than four
- On the cohomology of torus manifolds
- Equivariant cohomology distinguishes toric manifolds
- Equivariant cohomology, Koszul duality, and the localization theorem
- 1-skeleta, Betti numbers, and equivariant cohomology
- Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds
- Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers
- GKM theory and Hamiltonian non-Kähler actions in dimension 6
- Graph equivariant cohomological rigidity for GKM graphs
- Equivariant de Rham cohomology: theory and applications
- Cohomological non-rigidity of eight-dimensional complex projective towers
- A diffeomorphism classification of manifolds which are like projective planes
- The \((n+2)^{nd}\) homotopy group of the \(n\)-sphere
- Circle actions on 8-dimensional almost complex manifolds with 4 fixed points
- Almost complex circle actions with few fixed points
- Compositional Methods in Homotopy Groups of Spheres. (AM-49)
- Classification problems of toric manifolds via topology
- Shorter Notes: Some Simple Examples of Symplectic Manifolds
- Torus manifolds and non-negative curvature
- Actions of the Torus on 4-Manifolds. I