On the Hofer-Zehnder conjecture on weighted projective spaces
Symplectic Geometry
2024-03-25 v1 Dynamical Systems
Abstract
We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, we prove that if the number of fixed points counted with their isotropy order as multiplicity of a non-degenerate Hamiltonian diffeomorphism of such a space is larger than the minimum number possible, then there are infinitely many periodic points.
Keywords
Cite
@article{arxiv.2201.13277,
title = {On the Hofer-Zehnder conjecture on weighted projective spaces},
author = {Simon Allais},
journal= {arXiv preprint arXiv:2201.13277},
year = {2024}
}
Comments
22 pages. arXiv admin note: text overlap with arXiv:2010.14172