Fixed points of symplectic periodic flows

DOI10.1017/S0143385710000295zbMath1223.37030arXiv1003.4787OpenAlexW2963845983MaRDI QIDQ3018661

Susan Tolman, Álvaro Pelayo

Publication date: 27 July 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4787

zbMATH Keywords

fixed pointMorse theoryChern class mapAtiyah-Bott-Berline-Vergne (ABBV) localization

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Periodic orbits of vector fields and flows (37C27)

Related Items

Rigidity of powers and Kosniowski's conjecture ⋮ Circle actions on almost complex manifolds with isolated fixed points ⋮ The rigidity of Dolbeault-type operators and symplectic circle actions ⋮ An invitation to circle actions ⋮ Circle actions on 8-dimensional almost complex manifolds with 4 fixed points ⋮ Symplectic periodic flows with exactly three equilibrium points ⋮ New tools for classifying Hamiltonian circle actions with isolated fixed points ⋮ Non-Hamiltonian actions with isolated fixed points ⋮ Circle actions on 6-dimensional oriented manifolds with 4 fixed points ⋮ The topology of toric symplectic manifolds ⋮ Circle actions on unitary manifolds with discrete fixed point sets ⋮ Circle action, lower bound of fixed points and characteristic numbers ⋮ Eigenvalues of vector fields, Bott's residue formula and integral invariants ⋮ Hamiltonian and symplectic symmetries: An introduction ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Circle actions on oriented manifolds with discrete fixed point sets and classification in dimension 4 ⋮ Circle actions on almost complex manifolds with 4 fixed points ⋮ Symplectic theory of completely integrable Hamiltonian systems ⋮ Circle Actions on Oriented Manifolds with Few Fixed Points ⋮ Almost complex circle actions with few fixed points ⋮ Number of fixed points for unitary \(T^{n -1}\)-manifold

Cites Work

• Unnamed Item
• Semitoric integrable systems on symplectic 4-manifolds
• Moment polytopes for symplectic manifolds with monodromy
• The moment map for circle actions on symplectic manifolds
• The moment map and equivariant cohomology
• Convexity properties of the moment mapping
• On semifree symplectic circle actions with isolated fixed points
• Convexity properties of the moment mapping. III
• On certain symplectic circle actions
• Symplectic torus actions with coisotropic principal orbits
• On a symplectic generalization of Petrie’s conjecture
• Convexity and Commuting Hamiltonians