HOFER–ZEHNDER CAPACITY AND HAMILTONIAN CIRCLE ACTIONS

DOI10.1142/S0219199704001550zbMath1076.53098arXivmath/0205030WikidataQ125296490 ScholiaQ125296490MaRDI QIDQ4675800

Leonardo Macarini

Publication date: 6 May 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205030

zbMATH Keywords

periodic orbitsHofer-Zehnder capacityHamiltonian circle action

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global theory of symplectic and contact manifolds (53D35)

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Cites Work

• Principal fibre bundles with the 1-dimensional toroidal group
• Pseudo holomorphic curves in symplectic manifolds
• The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\)
• On the hypotheses of Rabinowitz' periodic orbit theorems
• Symplectic capacities in two dimensions
• Symplectic submanifolds and almost-complex geometry
• Exact Lagrange submanifolds, periodic orbits and the cohomology of free loop spaces
• On the action spectrum for closed symplectically aspherical manifolds
• Hofer-Zehnder capacity and length minimizing Hamiltonian paths
• Lagrangian embeddings into subcritical Stein manifolds
• Estimates for the energy of a symplectic map
• Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. I
• Functors and computations in Floer homology with applications. I
• Symplectic manifolds with contact type boundaries
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• First steps in symplectic topology
• The weinstein conjecture in the presence of holomorphic spheres
• THE WEINSTEIN CONJECTURE ON SOME SYMPLECTIC MANIFOLDS CONTAINING THE HOLOMORPHIC SPHERES
• Hofer–Zehnder symplectic capacity for two-dimensional manifolds
• Existence of periodic solutions of Hamiltonian systems on almost every energy surface
• Symplectic topology on subcritical manifolds