Straightening Maps for Polynomials with Disconnected Julia Sets
Abstract In this paper, we prove that a polynomial $f$ can be determined by the conformal conjugacy class of its restriction $f|_{D_{f}(\infty )}$ together with the hybrid class of the restriction of $f$ to non-trivial periodic components of the filled Julia set $K(f)$. The proof is based on quasiconformal surgery.
Authors
- Hiroyuki Inou (ORCID: https://orcid.org/0000-0001-5613-7987)
- Yimin Wang (ORCID: https://orcid.org/0000-0003-3303-3733)
Institutions
- Shanghai Normal University (CN)
- Kyoto University (JP)
- Kyoto University of Education (JP)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-09-01
- DOI
- https://doi.org/10.1093/imrn/rnaf266
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00