Geometrically finite and semi-rational branched coverings of the two-sphere

DOI10.1090/S0002-9947-2010-05211-0zbMath1333.37040MaRDI QIDQ3003618

Yunping Jiang, Guizhen Cui

Publication date: 27 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

geometrically finite branched coveringsemi-rational branched coveringsub-hyperbolic semi-rational branched covering

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) 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) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (3)

Rees-Shishikura's theorem for geometrically finite rational maps ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings

Cites Work

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• Combinatorial characterization of sub-hyperbolic rational maps
• A proof of Thurston's topological characterization of rational functions
• A characterization of hyperbolic rational maps
• Exponential Thurston maps and limits of quadratic differentials
• On a theorem of Fatou
• Frontiers in complex dynamics

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