Antipode preserving cubic maps: The Fjord theorem: The

Authors

Araceli Bonifant, University of Rhode Island
Xavier Buff, Universite Paul Sabatier Toulouse III
John Milnor, Stony Brook University

Document Type

Article

Date of Original Version

3-1-2018

Abstract

This note will study a family of cubic rational maps which carry antipodal points of the Riemann sphere to antipodal points. It focuses particularly on the fjords, which are part of the central hyperbolic component but stretch out to infinity. These serve to decompose the parameter plane into subsets, each of which is characterized by a corresponding rotation number.

Publication Title, e.g., Journal

Proceedings of the London Mathematical Society

Volume

116

Issue

3

Citation/Publisher Attribution

Bonifant, Araceli, Xavier Buff, and John Milnor. "Antipode preserving cubic maps: The Fjord theorem: The." Proceedings of the London Mathematical Society 116, 3 (2018): 670-728. doi: 10.1112/plms.12075.