FLOER HOMOLOGY FOR SYMPLECTOMORPHISM

Let (M, omega) be a compact symplectic manifold, and phi be a symplectic diffeomorphism on M, we define a Floer-type homology FH*(phi) which is a generalization of Floer homology for symplectic fixed points defined by Dostoglou and Salamon for monotone symplectic manifolds. These homology groups are modules over a suitable Novikov ring and depend only on phi up to a Hamiltonian isotopy.