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arXiv · 2102.12402

On the pullback relation on curves induced by a Thurston map

Kevin M. Pilgrim
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Abstract

Via taking connected components of preimages, a Thurston map $f: (S^2, P_f) \to (S^2, P_f)$ induces a pullback relation on the set of isotopy classes of curves in the complement of its postcritical set $P_f$. We survey known results about the dynamics of this relation, and pose some questions.

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Kevin M. Pilgrim. 2021-02-24. On the pullback relation on curves induced by a Thurston map. https://arxiv.org/abs/2102.12402

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