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In this paper we give an alternative, purely Conley index based proof of theArnold conjecture in $\mathbb C\mathbb P^n$ asserting that a Hamiltoniandiffeomorphism of $\mathbb C\mathbb P^n$ endowed with the Fubini-Study metrichas at least $n+1$ fixed points.

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