Degenerate conformal structures
Complex Variables
2014-05-23 v1 Differential Geometry
Dynamical Systems
Abstract
We present new rectification theorems of degenerate quasi-conformal structures that give a meaning to quotients of Riemann surfaces with empty interior "fundamental domains". These techniques are used to define the unique renormalization of polynomials with Cantor set Julia sets.
Keywords
Cite
@article{arxiv.1405.5816,
title = {Degenerate conformal structures},
author = {Ricardo Pérez Marco},
journal= {arXiv preprint arXiv:1405.5816},
year = {2014}
}
Comments
41 pages, 1 figure