The Conley conjecture
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Publication:601864
DOI10.4007/annals.2010.172.1129zbMath1228.53098arXivmath/0610956OpenAlexW2952258278WikidataQ56813191 ScholiaQ56813191MaRDI QIDQ601864
Publication date: 29 October 2010
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610956
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Cites Work
- Homology generated by iterated closed geodesics
- The Lagrangian Conley conjecture
- Morse homology
- Subharmonic solutions of Hamiltonian equations on tori
- Symplectic topology as the geometry of generating functions
- Squeezing in Floer theory and refined Hofer-Zehnder capacities of sets near symplectic sub\-manifolds
- Action and index spectra and periodic orbits in Hamiltonian dynamics
- Hamiltonian dynamics on convex symplectic manifolds
- The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems
- Morse theory for Lagrangian intersections
- Witten's complex and infinite dimensional Morse theory
- Closed geodesics on complete surfaces
- Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
- Applications of symplectic homology. I
- Propagation in Hamiltonian dynamics and relative symplectic homology
- Length minimizing Hamiltonian paths for symplectically aspherical manifolds.
- Periodic points of Hamiltonian surface diffeomorphisms
- On the action spectrum for closed symplectically aspherical manifolds
- Hofer-Zehnder capacity and length minimizing Hamiltonian paths
- Infinite dimensional Morse theory and multiple solution problems
- Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group.
- Symplectic fixed points and holomorphic spheres
- 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
- Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. I
- Functors and computations in Floer homology with applications. I
- Multiple periodic points of the Poincaré map of Lagrangian systems on tori
- Coisotropic intersections
- Periodic orbits of Hamiltonian homeomorphisms of surfaces
- On differentiable functions with isolated critical points
- Symplectic manifolds and their Lagrangian submanifolds
- Morse Theory, the Conley Index and Floer Homology
- TOTALLY NON-COISOTROPIC DISPLACEMENT AND ITS APPLICATIONS TO HAMILTONIAN DYNAMICS
- The unregularized gradient flow of the symplectic action
- Morse theory for periodic solutions of hamiltonian systems and the maslov index
- Cuplength estimates on lagrangian intersections
- Corrigenda to: Introduction to Symplectic Topology
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
- On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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