Hofer's Geometry and Floer Theory under the Quantum Limit

DOI10.1093/imrn/rnm137zbMath1147.53070arXivmath/0703064OpenAlexW1989281746MaRDI QIDQ3515994

Ely Kerman

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703064

zbMATH Keywords

quantum limitcontractible 1-periodic orbits.Floer HamiltonianHofer length of a pathHofer seminormquasi-autonomus Hamiltonianspherically rational symplectic manifold

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Symplectic aspects of Floer homology and cohomology (53D40)

Related Items (5)

Action and index spectra and periodic orbits in Hamiltonian dynamics ⋮ A minimal Maslov number condition for displaceability in certain weakly exact symplectic manifolds ⋮ Rigid constellations of closed Reeb orbits ⋮ Displaceability of certain constant sectional curvature Lagrangian submanifolds ⋮ Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds

This page was built for publication: Hofer's Geometry and Floer Theory under the Quantum Limit