On the Classification of Laminations Associated to Quadratic Polynomials
On the Classification of Laminations Associated to Quadratic Polynomials
复制标题
关于二次多项式叠片的分类
DOI：
10.1007/s12220-007-9009-4
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Carlos Cabrera
中科院分区：
文献类型：
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作者：
Carlos Cabrera
给定任何有理 mapf，存在与 tof 相关的黎曼曲面的叠层。一般来说，这种叠片是由柳比奇和明斯基建造的。在本文中，我们对与具有周期性临界点的二次多项式相关的叠片进行分类。特别是，我们证明了这种叠片的拓扑结构决定了参数的组合。我们还描述了与其他类型的二次多项式相关的叠片拓扑。
Given any rational mapf, there is a lamination by Riemann surfaces associated tof. 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.