ABSTRACT
In the sixties, Arnold formulated some conjectures on the number of fixed points of symplectic diffeomorphisms, which generalize Poincare’s last geo metric theorem. The aim of this chapter is to show Conley and Zehnder’s proof of these conjectures for the 27V-torus, and Fortune’s argument for the complex projective space. We will also discuss briefly the existence of periodic points of higher period.
