On the dynamical Teichm\"uller space

We prove that the dynamical Teichm\"uller space of a rational map immerses into the space of rational maps of the same degree, answering a question of McMullen and Sullivan. This is achieved through a new description of the tangent and cotangent space to the dynamical Teichm\"uller space.

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Bibliographic Details
Main Author Astorg, Matthieu
Format Journal Article
LanguageEnglish
Published 05.06.2014
Subjects
Mathematics - Dynamical Systems
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Summary:We prove that the dynamical Teichm\"uller space of a rational map immerses into the space of rational maps of the same degree, answering a question of McMullen and Sullivan. This is achieved through a new description of the tangent and cotangent space to the dynamical Teichm\"uller space.
DOI:10.48550/arxiv.1406.1464