Topological regluing of rational functions
arXiv:0810.5559 · doi:10.1007/s00222-009-0220-8
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.
38 pages