Periodic maps in symplectic topology

DOI10.1007/BF01078943zbMath0724.58031OpenAlexW2327288103MaRDI QIDQ757928

Alexander Givental

Publication date: 1989

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078943

zbMATH Keywords

fixed pointssymplectic manifoldscritical pointssymplectomorphisms

Mathematics Subject Classification ID

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

Related Items (4)

On Lagrangian tangent sweeps and Lagrangian outer billiards ⋮ Quantum cohomology of flag manifolds and Toda lattices ⋮ The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications ⋮ Some remarks on symplectic actions of compact groups

Cites Work

• General hypergeometric functions on complex Grassmannians
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• The moment map and equivariant cohomology
• Lagrangian embeddings and critical point theory
• Pseudo holomorphic curves in symplectic manifolds
• Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
• Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds
• Supersymmetry and Morse theory
• Generating partitions of Markov endomorphisms
• A bound for the fixed-point index of an area-preserving map with applications to mechanics
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• A generalized Sturm theorem
• A symplectic fixed point theorem for complex projective spaces
• Un problème de disjonction par isotopie symplectique dans un fibré cotangent
• Morse theory for fixed points of symplectic diffeomorphisms
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