On the Hofer-Zehnder conjecture for non-contractible periodic orbits in Hamiltonian dynamics

• Published in: arXiv.org
• Main Author: Sugimoto, Yoshihiro
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.08.2023
• Subjects: Homology; Isomorphism; Manifolds; Orbits

In this paper, we treat an open problem related to the number of periodic orbits of Hamiltonian diffeomorphisms on closed symplectic manifolds. Hofer-Zehnder conjecture states that a Hamiltonian diffeomorphisms has infinitely many periodic orbits if it has "homologically unnecessary periodic or...