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The Arnold conjecture in $\mathbb C\mathbb P^n$ and the Conley index (2202.00422v1)
Published 1 Feb 2022 in math.DS and math.SG
Abstract: In this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in $\mathbb C\mathbb Pn$ asserting that a Hamiltonian diffeomorphism of $\mathbb C\mathbb Pn$ endowed with the Fubini-Study metric has at least $n+1$ fixed points.