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arXiv 0810.5559math.DS
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有理函数的拓扑正则化

Topological regluing of rational functions

Vladlen Timorin

摘要:

重调是一种拓扑操作,它有助于在某些双曲分量的边界上构造有理函数的拓扑模型。它也有一个全纯解释,具有无穷维Thurston-Teichmüller理论的味道。我们将讨论一个拓扑理论,并追踪一个全纯理论可以发展的方向。

英文摘要:

Regluing is a topological operation that helps to construct topological models for rational functions on the boundaries of certain hyperbolic components. It also has a holomorphic interpretation, with the flavor of infinite dimensional Thurston--Teichmüller theory. We will discuss a topological theory of regluing, and trace a direction in which a holomorphic theory can develop.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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