Floer-Novikov cohomology and symplectic fixed points, revisited

Abstract

This note is mostly an exposition of a few versions of Floer-Novikov cohomology with a few new observations. For example, we state a lower bound for the number of symplectic fixed points of a non-degenerate symplectomorphism, which is symplectomorphic isotopic to the identity, on a compact symplectic manifold, more precisely than previous statements in [14,10].

Keywords

• symplectic fixed point
• floer-novikov homology