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arXiv:2012.14945 [math.DS]AbstractReferencesReviewsResources

Irreducibility of periodic curves in cubic polynomial moduli space

Matthieu Arfeux, Jan Kiwi

Published 2020-12-29Version 1

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.

Comments: 40 pages, 5 figures
Categories: math.DS
Subjects: 37F10, 47F05, 14H10
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