Rotation numbers of Hamiltonian isotopies in complex projective spaces

DOI10.1215/S0012-7094-98-09402-9zbMath0976.53093MaRDI QIDQ1974843

David Théret

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

rotation numberssymplectic mapHamiltonian isotopyfixed-point setsymplectic invariants

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global theory of symplectic and contact manifolds (53D35)

Related Items

On the Hofer–Zehnder conjecture on ℂPd via generating functions ⋮ A Morse estimate for translated points of contactomorphisms of spheres and projective spaces ⋮ Bi-invariant metrics on the contactomorphism groups ⋮ THE NONLINEAR MASLOV INDEX AND THE CALABI HOMOMORPHISM ⋮ Contact homology, capacity and non-squeezing in \(\mathbb R^{ 2n }\times S^{ 1 }\) via generating functions ⋮ On the minimal number of translated points in contact lens spaces ⋮ On the Hofer–Zehnder conjecture on weighted projective spaces

Cites Work

• Symplectic topology as the geometry of generating functions
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• A complete proof of Viterbo's uniqueness theorem on generating functions
• Problèmes d'intersections et de points fixes en géométrie hamiltonienne. (Intersection and fixed-point problems in Hamiltonian geometry)
• A symplectic fixed point theorem for complex projective spaces
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