ESTIMATES AND COMPUTATIONS IN RABINOWITZ–FLOER HOMOLOGY

DOI10.1142/S1793525309000205zbMath1190.53082arXiv0907.1976MaRDI QIDQ5187845

Matthias Schwarz, Alberto Abbondandolo

Publication date: 9 March 2010

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1976

zbMATH Keywords

calibrationHamiltonian dynamicsRabinowitz-Floer homologyLagrangian graphLiouville domain

Mathematics Subject Classification ID

Related Items (28)

On the existence of infinitely many invariant Reeb orbits ⋮ ON MAGNETIC LEAF-WISE INTERSECTIONS ⋮ Rabinowitz Floer Homology: A Survey ⋮ On Product Structures in Floer Homology of Cotangent Bundles ⋮ The Role of the Legendre Transform in the Study of the Floer Complex of Cotangent Bundles ⋮ Künneth formula in Rabinowitz Floer homology ⋮ Rabinowitz-Floer homology for superquadratic Dirac equations on compact spin manifolds ⋮ Translated points and Rabinowitz Floer homology ⋮ Computing the Rabinowitz Floer homology of tentacular hyperboloids ⋮ Selective symplectic homology with applications to contact non-squeezing ⋮ Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence ⋮ Periodic orbits of Tonelli Lagrangians with prescribed action or period ⋮ Infinitely many leaf-wise intersections on cotangent bundles ⋮ Index computations in Rabinowitz Floer homology ⋮ On the Rabinowitz Floer homology of twisted cotangent bundles ⋮ Maximum principles in symplectic homology ⋮ Some remarks on symmetric periodic orbits in the restricted three-body problem ⋮ Vanishing of Rabinowitz Floer homology on negative line bundles ⋮ Periodic orbits of convex Lagrangians and average energy ⋮ Floer homologies, with applications ⋮ Symplectic topology of Mañé's critical values ⋮ Periodic orbits of Lagrangian systems with prescribed action or period ⋮ Lagrangian Rabinowitz Floer homology and twisted cotangent bundles ⋮ Bounds for tentacular Hamiltonians ⋮ Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations ⋮ Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics ⋮ Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems ⋮ Periodic orbits with prescribed abbreviated action

Cites Work

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• Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
• Symplectic homology. II: A general construction
• Critical values of autonomous Lagrangian systems
• The Palais-Smale condition and Mañé's critical values
• Functors and computations in Floer homology with applications. I
• The Palais-Smale condition on contact type energy levels for convex Lagrangian systems
• Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
• Morse theory on Hilbert manifolds
• On the Floer homology of cotangent bundles
• Elliptic Partial Differential Equations of Second Order

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