On the classification of laminations associated to quadratic polynomials
Dynamical Systems
2007-05-23 v1
Abstract
Given any rational map , there is a lamination by Riemann surfaces associated to . Such laminations were constructed in general by Lyubich and Minsky. In this paper, we classify laminations associated to quadratic polynomials with periodic critical point. In particular, we prove that the topology of such laminations determines the combinatorics of the parameter. We also describe the topology of laminations associated to other types of quadratic polynomials.
Keywords
Cite
@article{arxiv.math/0703159,
title = {On the classification of laminations associated to quadratic polynomials},
author = {Carlos Cabrera},
journal= {arXiv preprint arXiv:math/0703159},
year = {2007}
}