Abstract

Let (M,ω) be a closed symplectic 2n-dimensional manifold that is symplectically
aspherical with vanishing first Chern class. The (weak) Arnold conjecture states that the
number of contractible periodic orbits P 0 (H) of the Hamiltonian vector field X H associ-
ated to a Hamiltonian H is bounded from below by the Betti numbers
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