Pinching holomorphic correspondences

DOI10.1090/S1088-4173-07-00160-9zbMath1138.37022arXivmath/0503706OpenAlexW2083506918MaRDI QIDQ5448885

Peter Haïssinsky, Shaun R. Bullett

Publication date: 7 March 2008

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/math/0503706

zbMATH Keywords

pinchingquasiconformal deformationsholomorphic correspondencescircle-packingmatings

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (5)

Combining rational maps and Kleinian groups via orbit equivalence ⋮ A holomorphic correspondence at the boundary of the Klein combination locus ⋮ Some Connections of Complex Dynamics ⋮ Deformations of the modular group as a quasifuchsian correspondence ⋮ Mating quadratic maps with the modular group II

Cites Work

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• Mating quadratic maps with Kleinian groups via quasiconformal surgery
• Convergence of pinching deformations and matings of geometrically finite polynomials
• On Klein's Combination Theorem
• Holomorphic correspondences mating Chebyshev-like maps with Hecke groups

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