English

Embedding Unicritical Connectedness Loci

Dynamical Systems 2022-09-26 v2

Abstract

In this article, for degree d1d\geq 1, we construct an embedding Φd\Phi_d of the connectedness locus Md+1\mathcal{M}_{d+1} of the polynomials zd+1+cz^{d+1}+c into the connectedness locus of degree 2d+12d+1 bicritical odd polynomials.

Cite

@article{arxiv.2209.02601,
  title  = {Embedding Unicritical Connectedness Loci},
  author = {Malavika Mukundan},
  journal= {arXiv preprint arXiv:2209.02601},
  year   = {2022}
}

Comments

33 pages, 17 figures; fixed typos, expanded proofs with no changes to statements, added references

R2 v1 2026-06-28T00:48:56.508Z