Abstract
Given any rational map f, there is a lamination by Riemann surfaces associated to f. Such laminations were constructed, in general, by Lyubich and Minsky. In this article, 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.
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Cabrera, C. On the Classification of Laminations Associated to Quadratic Polynomials. J Geom Anal 18, 29–67 (2008). https://doi.org/10.1007/s12220-007-9009-4
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DOI: https://doi.org/10.1007/s12220-007-9009-4