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

  • *Corresponding author: Luca Asselle

    *Corresponding author: Luca Asselle 

This research is supported by the DFG-project 380257369 "Morse theoretical methods in Hamiltonian dynamics". M.I. is supported by the Beethoven2-grant 2016/23/G/ST1/04081 of the National Science Centre, Poland. M.S. is supported by the DFG-grant 459826435 "The equivariant spectral flow and bifurcation for indefinite functionals with symmetries"

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  • 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.

    Mathematics Subject Classification: Primary: 37J45; Secondary: 58E05.

    Citation:

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