On the pullback relation on curves induced by a Thurston map

Kevin M. Pilgrim

On the pullback relation on curves induced by a Thurston map

Dynamical Systems 2021-02-25 v1

Authors: Kevin M. Pilgrim

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.

Keywords

thurston maps

Cite

@article{arxiv.2102.12402,
  title  = {On the pullback relation on curves induced by a Thurston map},
  author = {Kevin M. Pilgrim},
  journal= {arXiv preprint arXiv:2102.12402},
  year   = {2021}
}

Comments

12 pages, 1 figure

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