Topological regluing of rational functions

Details Topological regluing of rational functions Topological regluing of rational functions

2008-10-30

arxiv.org/abs/0810.5559v1

Inventiones mathematicae: Volume 179, Issue 3 (2010), Page 461

Mathematics

Dynamical Systems

38 pages

Scientific paper

10.1007/s00222-009-0220-8

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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