Discontinuity of straightening in anti-holomorphic dynamics: II
arXiv:2010.01129 · doi:10.1093/imrn/rnaa365
Abstract
In [M3], Milnor found Tricorn-like sets in the parameter space of real cubic polynomials. We give a rigorous definition of these Tricorn-like sets as suitable renormalization loci, and show that the dynamically natural straightening map from such a Tricorn-like set to the original Tricorn is discontinuous. We also prove some rigidity theorems for polynomial parabolic germs, which state that one can recover unicritical holomorphic and anti-holomorphic polynomials from their parabolic germs.
Same as published version. Part I is available at arXiv:1605.08061v5