English

Topological regluing of rational functions

Dynamical Systems 2010-01-28 v1

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.

Keywords

Cite

@article{arxiv.0810.5559,
  title  = {Topological regluing of rational functions},
  author = {Vladlen Timorin},
  journal= {arXiv preprint arXiv:0810.5559},
  year   = {2010}
}

Comments

38 pages

R2 v1 2026-06-21T11:36:43.838Z