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arXiv · 0810.5559

Topological regluing of rational functions

Vladlen Timorin
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Abstract

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.

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Vladlen Timorin. 2008-10-30. Topological regluing of rational functions. https://doi.org/10.1007/s00222-009-0220-8

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