Modular groups, Hurwitz classes and dynamic portraits of NET maps

DOI10.4171/GGD/479zbMath1490.37060arXiv1703.03983OpenAlexW2962763100WikidataQ129009630 ScholiaQ129009630MaRDI QIDQ1733160

Kevin M. Pilgrim, Walter R. Parry, William J. Floyd

Publication date: 21 March 2019

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03983

zbMATH Keywords

branched coveringThurston mapvirtual endomorphism

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (6)

Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence ⋮ Origami, affine maps, and complex dynamics ⋮ Presentations of NET maps ⋮ Rationality is decidable for nearly Euclidean Thurston maps ⋮ Cubic post-critically finite polynomials defined over ℚ ⋮ Recognizing topological polynomials by lifting trees

Cites Work

• Thurston equivalence of topological polynomials
• Origami, affine maps, and complex dynamics
• Teichmüller theory and critically finite endomorphisms
• Pullback invariants of Thurston maps
• Boundary values of the Thurston pullback map
• Nearly Euclidean Thurston maps
• Mapping schemes realizable by obstructed topological polynomials
• Surface branched covers and geometric 2-orbifolds
• On Thurston's pullback map
• Algorithmic aspects of branched coverings
• Presentations of NET maps
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