The Arnold conjecture in $\mathbb C\mathbb P^n$ and the Conley index
Dynamical Systems
2022-02-02 v1 Symplectic Geometry
Abstract
In this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in asserting that a Hamiltonian diffeomorphism of endowed with the Fubini-Study metric has at least fixed points.
Keywords
Cite
@article{arxiv.2202.00422,
title = {The Arnold conjecture in $\mathbb C\mathbb P^n$ and the Conley index},
author = {L. Asselle and M. Izydorek and M. Starostka},
journal= {arXiv preprint arXiv:2202.00422},
year = {2022}
}
Comments
17 pages, comments welcome