The Birman-Hilden theory
Geometric Topology
2021-02-10 v1
Abstract
In the 1970s Joan Birman and Hugh Hilden wrote several papers on the problem of relating the mapping class group of a surface to that of a cover. We survey their work, give an overview of the subsequent developments, and discuss open questions and new directions.
Cite
@article{arxiv.1703.03448,
title = {The Birman-Hilden theory},
author = {Dan Margalit and Rebecca R. Winarski},
journal= {arXiv preprint arXiv:1703.03448},
year = {2021}
}
Comments
For the journal Celebratio Mathematica (http://celebratio.org)