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Geometrization of postcritically finite branched coverings (revised)

Published 10 Feb 2011 in math.DS and math.GT | (1102.2247v3)

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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