Rational Maps and Kleinian Groups

Rational Maps and Kleinian Groups
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有理映射和克莱尼群

DOI:
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发表时间:
1991
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通讯作者:
C. McMullen
C. McMullen
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作者:
C. McMullen

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共形动力系统可能有哪些拓扑形式?瑟斯顿的两个定理提供了部分答案,该定理采用泰希米勒空间上的迭代来构造有理图和给定拓扑形式的克莱因群。更准确地说,迭代要么找到几何模型,要么揭示其存在的拓扑障碍。这种二分法源于:
What are the possible topological forms for a conformal dynamical system? Part of the answer is provided by two theorems, due to Thurston, which employ iteration on Teichmuller space to construct rational maps and Kleinian groups of a given topological form. More precisely, the iteration either finds a geometric model or reveals a topological obstruction to its existence. This dichotomy stems from:
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