The Solenoid and Holomorphic Motions for Hénon Maps
نویسنده
چکیده
The McMullen-Sullivan holomorphic motion for topologically conjugate, complex polynomials with connected Julia set follows level sets of the Böttcher coordinate. The Buzzard-Verma holomorphic motion for hyperbolic, unstably connected, polynomial diffeomorphisms of C follows level sets of the Bedford-Smillie solenoid map. It follows that this solenoid map is a conjugacy for those Hénon maps that are perturbations of (one-dimensional) hyperbolic maps with connected Julia set.
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