Pinching Holomorphic Correspondences

Simple item page
dc.creatorBullett, Shaun
dc.creatorHaissinsky, Peter
dc.date2005-03-30
dc.date.accessioned2026-07-07T08:06:48Z
dc.date.available2026-07-07T08:06:48Z
dc.descriptionFor 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.
dc.identifierhttps://arxiv.org/abs/math/0503706
dc.identifierhttp://arxiv.org/abs/math/0503706
dc.identifierConformal Geometry and Dynamics 11 (05/06/2007) 65-89
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130731
dc.subjectDynamical Systems
dc.subject37F05 (Primary); 37F30 (Secondary)
dc.titlePinching Holomorphic Correspondences
dc.typetext

Files

Collections

arXiv