Centralizers of Hamiltonian finite cyclic group actions on rational ruled surfaces

DOI10.1090/tran/9223MaRDI QIDQ6629480

Pranav Chakravarthy, Martin Pinsonnault

Publication date: 30 October 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symplectic cohomologysymplectomorphism groupHamiltonian circle actions

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Homotopy groups of topological groups and homogeneous spaces (57T20)

Cites Work

• The classification of ruled symplectic 4-manifolds
• Complex structures on certain differentiable 4-manifolds
• On the topological classification of pseudofree group actions on 4- manifolds. I
• Topology of symplectomorphism groups of \(S^2\times S^2\)
• Homotopy decomposition of a group of symplectomorphisms of \(S^{2} \times S^{2}\).
• Deforming area preserving diffeomorphism of surfaces by mean curvature flow.
• Cyclic actions on rational ruled symplectic four-manifolds
• Compatible complex structures on symplectic rational ruled surfaces
• G-minimality and invariant negative spheres inG-Hirzebruch surfaces
• Periodic solutions near equilibria of symmetric Hamiltonian systems
• Periodic Hamiltonian flows on four-dimensional manifolds
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• Topology of symplectomorphism groups of rational ruled surfaces

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