Dessins d'enfants and Hubbard Trees

Details Dessins d'enfants and Hubbard Trees Dessins d'enfants and Hubbard Trees

1999-05-26

arxiv.org/abs/math/9905170v1

Mathematics

Dynamical Systems

27 pages, 8 PostScript figures

Scientific paper

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.

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