Hamiltonian pseudo-rotations of projective spaces

DOI10.1007/s00222-018-0818-9zbMath1447.53073arXiv1712.09766OpenAlexW2777991510MaRDI QIDQ1628413

Viktor L. Ginzburg, Başak Z. Gürel

Publication date: 4 December 2018

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09766

zbMATH Keywords

fixed pointFloer homologyperiodic orbitlocal Floer homologyHamiltonian pseudo rotationstrictly monotone symplectic manifold

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Symplectic and canonical mappings (37J11) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (13)

The Anosov-Katok method and pseudo-rotations in symplectic dynamics ⋮ Another look at the Hofer-Zehnder conjecture ⋮ On the Hofer-Zehnder conjecture ⋮ Viterbo conjecture for Zoll symmetric spaces ⋮ Lagrangian configurations and Hamiltonian maps ⋮ Contact three-manifolds with exactly two simple Reeb orbits ⋮ Hamiltonian no-torsion ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ Pseudo-rotations and holomorphic curves ⋮ Pseudo-rotations and Steenrod squares ⋮ Approximate identities and Lagrangian Poincaré recurrence ⋮ On the dynamics characterization of complex projective spaces ⋮ Bounds on spectral norms and barcodes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Action-index relations for perfect Hamiltonian diffeomorphisms
• The Conley conjecture for irrational symplectic manifolds
• Periodic orbits of Hamiltonian systems linear and hyperbolic at infinity
• The Conley conjecture and beyond
• Target-local Gromov compactness
• The Conley conjecture
• Local Floer homology and the action gap
• Subharmonic solutions of Hamiltonian equations on tori
• A symplectic fixed point theorem for \({\mathbb{C}}P^ n\)
• Symplectic topology as the geometry of generating functions
• Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group
• Action and index spectra and periodic orbits in Hamiltonian dynamics
• Monodromy in Hamiltonian Floer theory
• Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
• A quantum cup-length estimate for symplectic fixed points
• The Conley index and non-existence of minimal homeomorphisms
• Area preserving homeomorphisms of open surfaces of genus zero
• An index theorem for the homeomorphisms of the plane near a fixed point
• Differential algebra of Legendrian links
• Growth of maps, distortion in groups and symplectic geometry
• Periodic points of Hamiltonian surface diffeomorphisms
• On the action spectrum for closed symplectically aspherical manifolds
• Conley conjecture and local Floer homology
• On non-contractible periodic orbits of symplectomorphisms
• Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds
• Symplectic fixed points and holomorphic spheres
• Index theory for symplectic paths with applications
• Lagrangian intersections, symplectic energy, and areas of holomorphic curves
• The action spectrum and \(C^0\) symplectic topology
• Pseudo-rotations with sufficiently Liouvillean rotation number are \(C^0\)-rigid
• Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves
• Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms
• Coisotropic intersections
• Periodic orbits of Hamiltonian homeomorphisms of surfaces
• On non-contractible periodic orbits of Hamiltonian diffeomorphisms
• Conley Conjecture for Negative Monotone Symplectic Manifolds
• Homological Resonances for Hamiltonian Diffeomorphisms and Reeb Flows
• THE SHARP ENERGY-CAPACITY INEQUALITY
• A symplectic fixed point theorem for complex projective spaces
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• From symplectic deformation to isotopy
• A symplectic proof of a theorem of Franks
• On hyperbolic points and periodic orbits of symplectomorphisms
• Conley Conjecture Revisited
• C 0-Limits of Hamiltonian Paths and the Oh–Schwarz Spectral Invariants
• Constructions in elliptic dynamics
• Non-contractible periodic orbits in Hamiltonian dynamics on tori
• Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds
• First Steps Towards a Symplectic Dynamics
• Symplectic embeddings of 4-dimensional ellipsoids
• Holomorphic disks and the chord conjecture

This page was built for publication: Hamiltonian pseudo-rotations of projective spaces