Irreducibility of periodic curves in cubic polynomial moduli space
Dynamical Systems
2021-03-09 v2
Abstract
In the moduli space of complex cubic polynomials with a marked critical point, given any p>=1, we prove that the loci formed by polynomials with the marked critical point periodic of period p is an irreducible curve. Thus answering a question posed by Milnor in the 90's.
Keywords
Cite
@article{arxiv.2012.14945,
title = {Irreducibility of periodic curves in cubic polynomial moduli space},
author = {Matthieu Arfeux and Jan Kiwi},
journal= {arXiv preprint arXiv:2012.14945},
year = {2021}
}
Comments
40 pages, 5 figures