Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings

DOI10.1090/S1088-4173-2013-00250-6zbMath1408.37085arXiv1101.2285OpenAlexW2963644525MaRDI QIDQ2841084

Tao Chen, Yunping Jiang

Publication date: 24 July 2013

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2285

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Differentials on Riemann surfaces (30F30) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (1)

Topological characterisation of rational maps with Siegel disks

Cites Work

• Riemann's mapping theorem for variable metrics
• Combinatorial characterization of sub-hyperbolic rational maps
• Liftings of holomorphic maps into Teichmüller spaces
• A proof of Thurston's topological characterization of rational functions
• A characterization of hyperbolic rational maps
• Geometrically finite and semi-rational branched coverings of the two-sphere
• Holomorphic Motions and Related Topics
• Frontiers in complex dynamics
• Canonical Thurston obstructions
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