Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System

✍ Scribed by Curtis T. McMullen; Dennis P. Sullivan

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 580 KB
• Volume: 135
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.1998.1726

✦ Synopsis

1. Introduction.

2. Statement of results.

3. Classification of stable regions.

4. The Teichmu ller space of a holomorphic dynamical system. 5. Foliated Riemann surfaces.

5. The Teichmu ller space of a rational map.

7. Holomorphic motions and quasiconformal conjugacies.

8. Hyperbolic rational maps. 9. Complex tori and invariant line fields on the Julia set.