Floer homology and Arnold conjecture (Q1281879)

This paper is devoted to the construction of virtual moduli cycles of a Hamiltonian system. As a consequence of this construction, the authors manage to extend Floer (co-)homology to all symplectic manifolds without any positivity assumption and prove Arnold's conjecture in general. The latter means that the geometric cardinality of the set of periodic \(-1\) solutions of the Hamiltonian system under consideration should satisfy a Morse inequality.