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

Laura De Marco; Aaron Schiff

doi:10.1080/10586458.2013.743857

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

Laura De Marco^*, Aaron Schiff

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 et al. 10], and the algorithm applies the main results of [DeMarco and Pilgrim 11b]. The output is shown for periods p≤26.

Original language	English (US)
Pages (from-to)	99-111
Number of pages	13
Journal	Experimental Mathematics
Volume	22
Issue number	1
DOIs	https://doi.org/10.1080/10586458.2013.743857
State	Published - Jan 1 2013

Keywords

Euler characteristic
cubic polynomial
periodic critical point
pictograph
tau function

ASJC Scopus subject areas

Mathematics(all)

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