## 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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