Geometrization of postcritically finite branched coverings
Dynamical Systems
2010-11-18 v2
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.
Keywords
Cite
@article{arxiv.1011.1929,
title = {Geometrization of postcritically finite branched coverings},
author = {Sylvain Bonnot and Michael Yampolsky},
journal= {arXiv preprint arXiv:1011.1929},
year = {2010}
}
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