English

On the dynamical Teichm\"uller space

Dynamical Systems 2014-07-02 v3

Abstract

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.

Cite

@article{arxiv.1406.1464,
  title  = {On the dynamical Teichm\"uller space},
  author = {Matthieu Astorg},
  journal= {arXiv preprint arXiv:1406.1464},
  year   = {2014}
}
R2 v1 2026-06-22T04:31:57.390Z