The Arnold conjecture in $\mathbb{C}{\mathbb{P}}^n$ and the Conley index

In this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in $\mathbb{C}{\mathbb{P}}^n$ asserting that a Hamiltonian diffeomorphism of $\mathbb{C}{\mathbb{P}}^n$ endowed with the Fubini-Study metric has at least $n+1$ fixed points.