Hamiltonian dynamics on convex symplectic manifolds
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Publication:995386
DOI10.1007/s11856-007-0037-3zbMath1126.53056arXivmath/0303282OpenAlexW1992659862MaRDI QIDQ995386
Felix Schlenk, Urs Adrian Frauenfelder
Publication date: 3 September 2007
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0303282
Global theory of symplectic and contact manifolds (53D35) Symplectic aspects of Floer homology and cohomology (53D40)
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Cites Work
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- Filtered Hopf algebras and counting geodesic chords
- Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group
- Hamiltonian dynamics on convex symplectic manifolds
- Pseudo holomorphic curves in symplectic manifolds
- Periodic solutions on hypersurfaces and a result by C. Viterbo
- Morse theory for Lagrangian intersections
- Witten's complex and infinite dimensional Morse theory
- Geometry on the group of Hamiltonian diffeomorphisms
- Lagrangian graphs, minimizing measures and Mañé's critical values
- Symplectic topology as the geometry of action functional. II: Pants product and cohomological invariants
- Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
- Symplectic homology. II: A general construction
- Critical values of autonomous Lagrangian systems
- Growth of maps, distortion in groups and symplectic geometry
- Propagation in Hamiltonian dynamics and relative symplectic homology
- Holomorphic curves and Hamiltonian systems in an open set with restricted contact-type boundary
- The Palais-Smale condition and Mañé's critical values
- On the action spectrum for closed symplectically aspherical manifolds
- Lagrangian embeddings into subcritical Stein manifolds
- Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group.
- The geometry of symplectic energy
- Periodic orbits of Hamiltonian flows near symplectic extrema.
- Symplectic homology and periodic orbits near symplectic submanifolds
- Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles
- Transversality in elliptic Morse theory for the symplectic action
- Functors and computations in Floer homology with applications. I
- Applications of symplectic homology. II: Stability of the action spectrum
- Magnetic rigidity of horocycle flows
- Applications of Hofer's geometry to Hamiltonian dynamics
- The Palais-Smale condition on contact type energy levels for convex Lagrangian systems
- On the fundamental group of compact manifolds of non-positive curvature
- Symplectic diffeomorphisms as isometries of Hofer's norm
- TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- Calculus of variations in the large and classical mechanics
- The unregularized gradient flow of the symplectic action
- A relative morse index for the symplectic action
- Morse theory for periodic solutions of hamiltonian systems and the maslov index
- THE WEINSTEIN CONJECTURE ON SOME SYMPLECTIC MANIFOLDS CONTAINING THE HOLOMORPHIC SPHERES
- Geometry of $2$-step nilpotent groups with a left invariant metric
- HOFER–ZEHNDER CAPACITY AND HAMILTONIAN CIRCLE ACTIONS
- A REFINEMENT OF THE HOFER–ZEHNDER THEOREM ON THE EXISTENCE OF CLOSED CHARACTERISTICS NEAR A HYPERSURFACE
- Corrigenda to: Introduction to Symplectic Topology
- Vertices of Mather's beta function
- Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature