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

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

2012-01-09

arxiv.org/abs/1201.1891v1

Mathematics

Dynamical Systems

The program and accompanying documentation are available from the authors

Scientific paper

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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