The solenoid and holomorphic motions for Henon maps

• Autores: Philip P. Mummert
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 56, Nº 6, 2007, págs. 2739-2762
• Idioma: inglés
• DOI: 10.1512/iumj.2007.56.3148
• Texto completo no disponible (Saber más ...)
• Resumen

  • The McMullen-Sullivan holomorphic motion for topologically conjugate, complex polynomials with connected Julia set follows level sets of the B¨ottcher coordinate. The Buzzard-Verma holomorphic motion for hyperbolic, unstably connected, polynomial diffeomorphisms of C2 follows level sets of the Bedford-Smillie solenoid map. It follows that this solenoid map is a conjugacy for those H´enon maps that are perturbations of (one-dimensional) hyperbolic maps with connected Julia set.