 |
|
|
|
| HAL : hal-00004595, version 1 |
| arXiv : math.DS/0503706 |
| Fiche détaillée |  Récupérer au format |
|
|
| Conformal Geometry and Dynamics 11 (2007) 65-89 |
|
|
|
|
| Pinching Holomorphic Correspondences |
|
|
| Shaun Bullett 1Peter Haissinsky 2 |
|
|
| (05/06/2007) |
|
|
|
| For certain classes of holomorphic correspondences which are matings between Kleinian groups and polynomials, we prove the existence of pinching deformations, analogous to Maskit's deformations of Kleinian groups which pinch loxodromic elements to parabolic elements. We apply our results to establish the existence of matings between quadratic maps and the modular group, for a large class of quadratic maps, and of matings between the quadratic map $z\to z^2$ and circle-packing representations of the free product $C_2*C_3$ of cyclic groups of order $2$ and $3$. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | School of Mathematical Sciences |
|
|
|
Queen Mary, University of London |
|
|
| 2 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
|
|
|
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Systèmes dynamiques |
|
|
| Holomorphic correspondences – matings – quasiconformal deformations – pinching – circle-packing |
|
|
|
|
|
| hal-00004595, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00004595 | |
| oai:hal.archives-ouvertes.fr:hal-00004595 | |
| Contributeur : Peter Haissinsky | |
| Soumis le : Mercredi 30 Mars 2005, 15:01:00 | |
| Dernière modification le : Vendredi 8 Juin 2007, 09:57:21 | |
