Teichmüller theory and critically finite endomorphisms
Teichmüller theory and critically finite endomorphisms
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Teichmüller 理论和临界有限自同态
DOI：
10.1016/j.aim.2013.08.019
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发表时间：
2013
影响因子：
1.7
通讯作者：
Sarah C. Koch
中科院分区：
文献类型：
--
作者：
Sarah C. Koch
我们提出了一个系统的方法来产生临界有限自同态的Pn。这些映射出现在泰希米勒理论的背景下，特别是瑟斯顿对有理映射的拓扑刻画。自同态的动力对象对应于Thurston定理的中心对象。我们的定理建立无限多的这些自同态，事实上，大量的例子，在文献中发现的临界有限的自同态的P n从这个建设。
We present a systematic way to generate critically finite endomorphisms of P n. These maps arise in the context of Teichmüller theory, specifically in Thurstonʼs topological characterization of rational maps. The dynamical objects for the endomorphisms correspond to central objects from Thurstonʼs theorem. Our theorems build infinitely many of these endomorphisms; in fact, a large number of examples of critically finite endomorphisms of P n found in the literature arise from this construction.