On non-contractible periodic orbits of Hamiltonian diffeomorphisms
Abbreviated Journal Title
Bull. London Math. Soc.
COTANGENT BUNDLES; CONLEY CONJECTURE; FLOER HOMOLOGY; MORSE-THEORY; GEODESICS; DYNAMICS; POINTS; HOMEOMORPHISMS; PRIMES; INDEX; Mathematics
We prove that any Hamiltonian diffeomorphism of a closed symplectic manifold equipped with an atoroidal symplectic form has simple non-contractible periodic orbits of arbitrarily large period, provided that the diffeomorphism has a non-degenerate (or even isolated and homologically non-trivial) periodic orbit with non-zero homology class and the set of one-periodic orbits in that class is finite.
Bulletin of the London Mathematical Society
"On non-contractible periodic orbits of Hamiltonian diffeomorphisms" (2013). Faculty Bibliography 2010s. 4069.