Antipode preserving cubic maps: the Fjord theorem

作者：Bonifant Araceli^*; Buff Xavier; Milnor John

来源：Proceedings of the London Mathematical Society, 2018, 116(3): 670-728.

DOI：10.1112/plms.12075

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.

• 出版日期2018-3