Irreducibility of periodic curves in cubic polynomial moduli space

Published 29 Dec 2020 in math.DS | (2012.14945v2)

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.

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