Irreducibility of periodic curves in cubic polynomial moduli space-Reference-Cited by-同舟云学术

Irreducibility of periodic curves in cubic polynomial moduli space

Published:2023-07-28 Issue:3 Volume:127 Page:792-835
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Arfeux Matthieu¹,Kiwi Jan²

Affiliation:

1. Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso Valparaíso Chile

2. Facultad de Matemáticas Pontificia Universidad Católica de Chile Santiago Chile

Abstract

AbstractIn the moduli space of complex cubic polynomials with a marked critical point, given any , we prove that the loci formed by polynomials with the marked critical point periodic of period is an irreducible curve. Thus, answering a question posed by Milnor in the 1990s.

Funder

Comisión Nacional de Investigación Científica y Tecnológica

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12553

Reference46 articles.

1. Topological cubic polynomials with one periodic ramification point

2. Mating Non-Renormalizable Quadratic Polynomials

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5. The iteration of cubic polynomials Part I: The global topology of parameter space

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