A symplectic fixed point theorem for complex projective spaces

DOI10.1090/S0273-0979-1985-15314-5zbMath0566.58013OpenAlexW2012565063MaRDI QIDQ3681605

Barry Fortune, Alan Weinstein

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15314-5

zbMATH Keywords

fixed pointsperiodic orbitsArnold's conjecturesymplectic manifold

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

An Arnold-type principle for non-smooth objects, Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds, Action and index spectra and periodic orbits in Hamiltonian dynamics, Hamiltonian pseudo-rotations of projective spaces, A Morse estimate for translated points of contactomorphisms of spheres and projective spaces, A \(C^0\) counterexample to the Arnold conjecture, Lusternik-Schnirelman-theory for Lagrangian intersections, On the Hofer-Zehnder conjecture, Vladimir Igorevich Arnold and the Invention of Symplectic Topology, Rotation numbers of Hamiltonian isotopies in complex projective spaces, Arnold's conjecture and symplectic reduction, Symplectic geometry and topology, Symplectic geometry and topology, The action spectrum and \(C^0\) symplectic topology, Periodic maps in symplectic topology, Symplectic topology in the nineties, A symplectic fixed point theorem for \({\mathbb{C}}P^ n\), Lagrangian embeddings and critical point theory

Cites Work

• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Reduction of symplectic manifolds with symmetry
• Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces