On the Pullback Relation on Curves Induced by a Thurston Map

Kevin M. Pilgrim ()
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Kevin M. Pilgrim: Indiana University

Chapter Chapter 11 in In the Tradition of Thurston II, 2022, pp 385-399 from Springer

Abstract: Abstract Via taking connected components of preimages, a Thurston map f : (S2, Pf) → (S2, Pf) induces a pullback relation on the set of isotopy classes of curves in the complement of its postcritical set Pf. We survey known results about the dynamics of this relation, and pose some questions.

Keywords: Thurston map; Teichmüller space; Curves; 37F10 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-97560-9_11

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DOI: 10.1007/978-3-030-97560-9_11

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