Floer Homology and Gromov-Witten Invariant over Integer of General Symplectic Manifolds – Summary –

Abstract

In this article we give a summary of an improvement our earier result [FO2] on Arnold's conjecture about the number of periodic orbits of periodic Hamiltonian system. In [FO2], we gave an estimate in terms of Betti numbers. In this article, we include torsion coefficients. We also define an "integer part" of the Gromov-Witten invariant.