Geometrization of postcritically finite branched coverings

Details Geometrization of postcritically finite branched coverings Geometrization of postcritically finite branched coverings

2010-11-08

arxiv.org/abs/1011.1929v2

Mathematics

Dynamical Systems

The paper has been withdrawn

Scientific paper

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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