Geometrization of postcritically finite branched coverings

Published 8 Nov 2010 in math.DS | (1011.1929v2)

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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