Abstract
The first author introduced a relative symplectic capacity for a symplectic manifold and its subset which measures the existence of non-contractible periodic trajectories of Hamiltonian isotopies on the product of with the annulus . In the present paper, we give an exact computation of the capacity of the -torus relative to a Lagrangian submanifold which implies the existence of non-contractible Hamiltonian periodic trajectories on . Moreover, we give a lower bound on the number of such trajectories.
Publication
Journal of Modern Dynamics, vol. 11 (2017), pp. 313–339