Lifting Homeomorphisms and Cyclic Branched Covers of Spheres
Geometric Topology
2020-03-12 v2
Abstract
We characterize the cyclic branched covers of the 2-sphere where every homeomorphism of the sphere lifts to a homeomorphism of the covering surface. This answers a question that appeared in an early version of the erratum of Birman and Hilden [2].
Cite
@article{arxiv.1607.06060,
title = {Lifting Homeomorphisms and Cyclic Branched Covers of Spheres},
author = {Tyrone Ghaswala and Rebecca R. Winarski},
journal= {arXiv preprint arXiv:1607.06060},
year = {2020}
}
Comments
5 pages, 1 figure. Minor changes from version 1 to take into account referee's comments