On the dynamical Teichmüller space

Matthieu Astorg (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

We prove that the dynamical Teichmüller 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 Teichmüller space.

Mots clés: complex dynamics; Teichmüller theory; quasiconformal analysis

Domaines: Systèmes dynamiques [math.DS]

Matthieu Astorg. On the dynamical Teichmüller space. 2014. ⟨hal-01002101v2⟩