Resumen de The solenoid and holomorphic motions for Henon maps

Philip P. Mummert

• 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.