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arXiv · 1201.1891

The geometry of the critically-periodic curves in the space of cubic polynomials

Laura DeMarco·Aaron Schiff
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Abstract

We provide an algorithm for computing the Euler characteristic of the curves $S_p$ in the space of cubic polynomials, consisting of all polynomials with a periodic critical point of period $p$. The curves were introduced in [Milnor, Bonifant-Kiwi-Milnor], and the algorithm applies the main results of [DeMarco-Pilgrim]. The output is shown for periods $p \leq 26$.

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Laura DeMarco, Aaron Schiff. 2012-01-09. The geometry of the critically-periodic curves in the space of cubic polynomials. https://arxiv.org/abs/1201.1891

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