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The Geometry of the Critically Periodic Curves in the Space of Cubic Polynomials
2013
Experimental Mathematics
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We provide an algorithm for computing the Euler characteristic of the curves S p in P cm 3 C 2 , 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 [Mi, BKM], and the algorithm applies the main results of [DP]. The output is shown for periods p ≤ 26.
doi:10.1080/10586458.2013.743857
fatcat:4dmtpfwg3jgfrh6vz7msqkiaie