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

Luca Asselle; Marek Izydorek; Maciej Starostka

doi:10.3934/dcdsb.2022184

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

Abstract

n this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in CP^n asserting that a Hamiltonian diffeomorphism of CP^n endowed with the Fubini-Study metric has at least (n+1) fixed points.

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Keywords

ARNOLD CONJECTURE, CONLEY INDEX, HAMILTONIAN SYSTEMS, COMPLEX PROJECTIVE SPACE, CUP-LENGTH.

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Category:

Articles

Type:

artykuły w czasopismach

Published in:

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B no. 28, pages 2603 - 2620,
ISSN: 1531-3492

Language:

English

Publication year:

2023

Bibliographic description:

Asselle L., Izydorek M., Starostka M.: The Arnold conjecture in $ \mathbb C\mathbb P^n $ and the Conley index// DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B -Vol. 28,iss. 4 (2023), s.2603-2620

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