Conley Conjecture for Negative Monotone Symplectic Manifolds

Abstract

We prove the Conley conjecture for negative monotone, closed symplectic manifolds, i.e., the existence of infinitely many periodic orbits for Hamiltonian diffeomorphisms of such manifolds.

arXiv comment15 pages

References in corpus (4)

• Rigid subsets of symplectic manifolds
• Spectral numbers in Floer theories
• Floer homology of cotangent bundles and the loop product
• The Conley conjecture for the cotangent bundle