The Pullback Map on Teichmüller Space Induced from a Thurston Map

William Floyd ()
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William Floyd: Virginia Tech, Department of Mathematics

Chapter Chapter 12 in In the Tradition of Thurston II, 2022, pp 401-420 from Springer

Abstract: Abstract William Thurston’s topological characterization of rational maps has had an enormous impact in complex dynamics. The proof depends heavily on a pullback map σf on Teichmüller space associated with a postcritically finite branched covering f : S2 → S2. In this chapter we describe Thurston’s characterization theorem, and briefly discuss some more recent developments on understanding the pullback map σf.

Keywords: Thurston map; Pullback map; Teichmüller space (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_12

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DOI: 10.1007/978-3-030-97560-9_12

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