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arXiv · 1204.3214

An algebraic characterization of expanding Thurston maps

Peter Haïssinsky·Kevin Pilgrim
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Abstract

Let $f: S^2 \to S^2$ be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for $f$ to be homotopic, relative to its postcritical set, to an expanding map $g$.

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Peter Haïssinsky, Kevin Pilgrim. 2012-04-14. An algebraic characterization of expanding Thurston maps. https://arxiv.org/abs/1204.3214

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