Lifting homeomorphisms and finite abelian branched covers of the 2-sphere

Abstract

We completely determine finite abelian regular branched covers of the 2-sphere $S^2$ with the property that each homeomorphism of $S^2$ preserving the branching set can be lifted.

4 pages, accepted by Bulletion of the Australian Mathematical Society

References in corpus (2)

• The Birman-Hilden theory
• Lifting Homeomorphisms and Cyclic Branched Covers of Spheres