An algebraic formulation of Thurston's characterization of rational functions

DOI10.5802/afst.1361zbMath1272.37025arXiv0708.3385OpenAlexW2963054171MaRDI QIDQ1950984

Kevin M. Pilgrim

Publication date: 28 May 2013

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3385

zbMATH Keywords

obstructionmapping class grouprational mapThurston mapmulticurveskinning mapvirtual endomorphism

Mathematics Subject Classification ID

Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (8)

On the Pullback Relation on Curves Induced by a Thurston Map ⋮ Origami, affine maps, and complex dynamics ⋮ Tan Lei and Shishikura's example of non-mateable degree 3 polynomials without a Lévy cycle ⋮ Pullback invariants of Thurston maps ⋮ Quadratic Thurston maps with few postcritical points ⋮ Boundary values of the Thurston pullback map ⋮ Nearly Euclidean Thurston maps ⋮ Recognizing topological polynomials by lifting trees

Cites Work

• Thurston's pullback map on the augmented Teichmüller space and applications
• Skinning maps
• Thurston equivalence of topological polynomials
• A proof of Thurston's topological characterization of rational functions
• Combinations of complex dynamical systems
• Abbildungsklassen endlicher Ordnung
• Mapping schemes realizable by obstructed topological polynomials
• Weil–Petersson isometries via the pants complex
• The Weil-Petersson metric geometry
• On Thurston's pullback map
• On the geometry and dynamics of diffeomorphisms of surfaces
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