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The Geometry of the Critically-Periodic Curves in the Space of Cubic Polynomials
journal contributionposted on 2014-02-19, 00:00 authored by Laura De Marco, Aaron Schiff
We provide an algorithm for computing the Euler characteristic of the curves in consisting of all polynomials with a periodic critical point of period p in the space of critically marked complex cubic polynomials. The curves were introduced in [Milnor 09, Bonifant etal. 10], and the algorithm applies the main results of [DeMarco and Pilgrim 11b]. The output is shown for periods p <= 26.
Research supported by the National Science Foundation
Publisher StatementThis is a copy of an article published in the Experimental Mathematics © 2013 AK Peters