Dessins d'enfants and Hubbard Trees
Dynamical Systems
2007-05-23 v1
Abstract
We show that the absolute Galois group acts faithfully on the set of Hubbard trees. Hubbard trees are finite planar trees, equipped with self-maps, which classify postcritically finite polynomials as holomorphic dynamical systems on the complex plane. We establish an explicit relationship between certain Hubbard trees and the trees known as ``dessins d'enfant'' introduced by Grothendieck.
Keywords
Cite
@article{arxiv.math/9905170,
title = {Dessins d'enfants and Hubbard Trees},
author = {Kevin Pilgrim},
journal= {arXiv preprint arXiv:math/9905170},
year = {2007}
}
Comments
27 pages, 8 PostScript figures