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

Laura De Marco*, Aaron Schiff

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)99-111
Number of pages13
JournalExperimental Mathematics
Volume22
Issue number1
DOIs
StatePublished - Jan 1 2013

Keywords

  • Euler characteristic
  • cubic polynomial
  • periodic critical point
  • pictograph
  • tau function

ASJC Scopus subject areas

  • Mathematics(all)

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