Geometrization of postcritically finite branched coverings (revised)
Dynamical Systems
2012-05-03 v3 Geometric Topology
Abstract
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K. Pilgrim. We show that every hyperbolic cycle in the decomposition does not have a Thurston obstruction. It is thus Thurston equivalent to a rational map.
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Cite
@article{arxiv.1102.2247,
title = {Geometrization of postcritically finite branched coverings (revised)},
author = {Sylvain Bonnot and Michael Yampolsky},
journal= {arXiv preprint arXiv:1102.2247},
year = {2012}
}
Comments
Minor update