Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds

  title={Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds},
  author={V. Ginzburg and Basak Z. Gurel},
  journal={arXiv: Symplectic Geometry},
  • V. Ginzburg, Basak Z. Gurel
  • Published 2015
  • Mathematics
  • arXiv: Symplectic Geometry
  • We study Hamiltonian diffeomorphisms of closed symplectic manifolds with non-contractible periodic orbits. In a variety of settings, we show that the presence of one non-contractible periodic orbit of a Hamiltonian diffeomorphism of a closed toroidally monotone or toroidally negative monotone symplectic manifold implies the existence of infinitely many non-contractible periodic orbits in a specific collection of free homotopy classes. The main new ingredient in the proofs of these results is a… CONTINUE READING
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