Institute for Mathematical Sciences

Preprint ims08-04

Vladlen Timorin
Topological regluing of rational functions

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--Teichm\"uller theory. We will discuss a topological theory of regluing, and trace a direction in which a holomorphic theory can develop.
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