Relative Hofer-Zehnder capacity and positive symplectic homology

DOI10.1007/978-3-031-19111-4_5zbMATH Open1548.53106MaRDI QIDQ6601729

Publication date: 11 September 2024

symplectic homology Floer theory Liouville domains periodic orbits of Hamiltonian systems

Symplectic aspects of Floer homology and cohomology (53D40) Symplectic field theory; contact homology (53D42) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Hofer's metric on the space of Lagrangian submanifolds and wrapped Floer homology
Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product
The Conley conjecture and beyond
Local systems on the free loop space and finiteness of the Hofer-Zehnder capacity
Finiteness of \(\pi _1\)-sensitive Hofer-Zehnder capacity and equivariant loop space homology
The Conley conjecture
Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms
The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
Symplectic topology as the geometry of generating functions
Floer homology and the heat flow
Hamiltonian dynamics on convex symplectic manifolds
Novikov-symplectic cohomology and exact Lagrangian embeddings
Pseudo holomorphic curves in symplectic manifolds
A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
Periodic solutions on hypersurfaces and a result by C. Viterbo
Morse theory for Lagrangian intersections
Simple closed geodesics on convex surfaces
The free loop space of globally symmetric spaces
The homology theory of the closed geodesic problem
On the hypotheses of Rabinowitz' periodic orbit theorems
Periodic orbits for convex hamiltonian systems
Floer homology and Arnold conjecture
Arnold conjecture and Gromov-Witten invariant
Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
Symplectic homology. II: A general construction
Exact Lagrange submanifolds, periodic orbits and the cohomology of free loop spaces
Propagation in Hamiltonian dynamics and relative symplectic homology
Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics
Holomorphic curves and Hamiltonian systems in an open set with restricted contact-type boundary
On the action spectrum for closed symplectically aspherical manifolds
The sharp energy-capacity inequality on convex symplectic manifolds
The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein
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
On the Arnold conjecture for weakly monotone symplectic manifolds
Functors and computations in Floer homology with applications. I
Symplectic invariants and Hamiltonian dynamics
Symplectic homology of displaceable Liouville domains and leafwise intersection points
Gromov-Witten invariants and pseudo symplectic capacities
Applications of Hofer's geometry to Hamiltonian dynamics
Noncontractible periodic orbits in cotangent bundles and Floer homology
Weinstein conjecture and GW-invariants
Many closed symplectic manifolds have infinite Hofer–Zehnder capacity
On the Floer homology of cotangent bundles
The Role of the Legendre Transform in the Study of the Floer Complex of Cotangent Bundles
TOTALLY NON-COISOTROPIC DISPLACEMENT AND ITS APPLICATIONS TO HAMILTONIAN DYNAMICS
Morse Theory. (AM-51)
The weinstein conjecture in the presence of holomorphic spheres
Periodic solutions of hamiltonian systems
THE WEINSTEIN CONJECTURE ON SOME SYMPLECTIC MANIFOLDS CONTAINING THE HOLOMORPHIC SPHERES
HOFER–ZEHNDER CAPACITY AND HAMILTONIAN CIRCLE ACTIONS
A REFINEMENT OF THE HOFER–ZEHNDER THEOREM ON THE EXISTENCE OF CLOSED CHARACTERISTICS NEAR A HYPERSURFACE
Two closed orbits for non-degenerate Reeb flows
On the filtered symplectic homology of prequantization bundles
Floer homology in the cotangent bundle of a closed Finsler manifold and noncontractible periodic orbits
Bounding Lagrangian widths via geodesic paths
Symplectic cohomology and Viterbo's theorem
Corrigendum: On the Floer Homology of Cotangent Bundles
Existence of periodic solutions of Hamiltonian systems on almost every energy surface

This page was built for publication: Relative Hofer-Zehnder capacity and positive symplectic homology

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6601729)